Recent puzzles under tag geometry

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Inside of rectangle ABCD is a triangle AMN with M along BC and N along CD. Suppose BM = 6 cm, ND = 4 cm.............

posted 5 days ago by Samardeep Acharya

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A point inside a pentagon is connected to the midpoints of the sides of the pentagon and to a corner, as shown.........

posted Dec 18, 2024 by Amarvansh

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The arc, centered at point O, is a quarter-circle. Find the simplest formula for the radius of the circle in terms......

posted Dec 17, 2024 by Parampreet Kaur

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The two circles are congruent, each with a radius equal to 5. What is the area of the square?

posted Nov 5, 2024 by Saif Khanam

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What is the measure of angle EDF shown in the diagram below?

posted Oct 21, 2024 by Ritika

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What is the perimeter of the composite rectilinear shape?

posted Oct 21, 2024 by Vikram Luthra

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The gothic window design below has arc BC centered at A and arc AC centered at B. Semicircles D and E have a radius.....

posted Oct 3, 2024 by Atif

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Make 2 cuts in the wood to form a square that will cover the hole. A cut is an entry from one edge and an exit..........

posted Sep 20, 2024 by Aastha Joshi

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Quadrilateral ABCD has a 90 degree right angle at C and BC = CD = 10 miles. A car is traveling from A to C...........

posted Sep 5, 2024 by Vikram Luthra

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Is 1/4 of the circle shaded? The vertical line segments are equally spaced across the diameter of the circle.

posted Sep 3, 2024 by Upma

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Solve for h such that 25% of the circle’s area is shaded.

posted Sep 2, 2024 by Nikhil Pandey

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A semicircle is inscribed in a right triangle as shown. What is the area of the shaded region in the figure?

posted Aug 16, 2024 by Varun Kumar

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In the diagram below, what is the value of x in degrees?

posted Aug 7, 2024 by Karan Joglekar

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Let ABC be a triangle with AB < AC < BC. Let the incentre and incircle of triangle ABC be I and ω, respectively.........

posted Aug 7, 2024 by Samardeep Acharya

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What fraction of the quarter circle is shaded by the semicircle?

posted Aug 6, 2024 by Simranjeet Singh

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A regular hexagon circumscribes circle O and another regular hexagon is inscribed in circle O. If the radius..........

posted Aug 5, 2024 by Anuradha Tabyal

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A square is in the first quadrant, as shown, with its sides extending to points on the x-axis of (3, 0), (5, 0)......

posted Aug 2, 2024 by Mishthy Mukherjee

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What is the radius of the circle?

posted Aug 2, 2024 by Yogeshwar Thakur

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There are 20 points arranged in a cross pattern shown below. How many squares can be drawn, using any 4 points..........

posted May 22, 2024 by Mohammad

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The square below is made up of four small squares. Can you shade half of it so that the unshaded part is also a square?

posted Apr 21, 2024 by Kuldeep Apte

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What’s going on in this figure? How is there a missing square?

posted Apr 21, 2024 by Karan Joglekar

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Calculate the shaded area in blue.

posted Apr 21, 2024 by Aastha Joshi

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What is the length of the chord?

posted Apr 3, 2024 by Vikram Luthra

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What is the area of the blue rectangle?

posted Apr 3, 2024 by Prithvi

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The tangent line to the semicircle has a length of 5 cm. What is the area of the rectangle?

posted Mar 21, 2024 by Yogeshwar Thakur

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If the large square has an area of 25 cm2, what is the combined area of the small square and rectangle?

posted Mar 21, 2024 by Yogeshwar Thakur

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Can you find out which triangle will have a bigger area among the following? 1. A triangle with sides 300, 400........

posted Feb 19, 2024 by Deepak Chitragar

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A square is inscribed along the right angle of a right triangle, as shown, with vertical and horizontal lengths.........

posted Feb 14, 2024 by Ritika

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Solve for the unknown area.

posted Feb 14, 2024 by Vikram Luthra

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What is the area of the entire triangle ABC?

posted Feb 6, 2024 by Saif Khanam

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How many triangles are there in the picture below?

posted Jan 8, 2024 by Madhavi Latha

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A right triangle ABC has legs AB = 4, BC = 6, and has a semicircle O with its center on the hypotenuse tangent........

posted Dec 15, 2023 by Chahat Sharma

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What is the value of x in the figure below?

posted Dec 14, 2023 by Brijesh Talwar

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Two large circles are tangent to each other and the parallel lines. Two small circles are tangent to the large circles..

posted Dec 14, 2023 by Saif Khanam

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Square ABCD has a side length of 4. Construct a quarter circle with radius 4 centered at B and a semi-circle............

posted Dec 13, 2023 by Kuldeep Apte

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A right triangle has a semicircles with radii of 3 and 4 on its legs, as shown. The semicircles intersect along.........

posted Dec 5, 2023 by Rajni

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A coin rolls in the interior of a square along its sides without slipping. When the coin has returned to its starting...

posted Dec 4, 2023 by Varun Kumar

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Two circles intersect a rectangle, dividing the top and bottom sides into 3 segments. What is the length..........

posted Nov 24, 2023 by Aarati Mahajan

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In the diagram below, there are 4 squares and 3 areas are known. What is the radius of the circle?

posted Nov 24, 2023 by Simranjeet Singh

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What is the probability the distance d between the points is larger than l?

posted Nov 20, 2023 by Anil Chaurasiya

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ABCD is a square with area 625 square meters and AEFD is a rhombus with area 500 square meters. What is the area........

posted Nov 20, 2023 by Anshika Utadi

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Three squares are shown. The large square has a side length of 60, and the two smaller squares are...........

posted Nov 20, 2023 by Basabdatta Mukherjee

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A piece of paper measuring 8 by 6 is folded several times, as shown. What is the area of the final shape?

posted Nov 20, 2023 by Deepak Chitragar

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If each of the 3 semicircles below has an area equal to 72, and is the midpoint of , what is the area of the shaded.....

posted Nov 6, 2023 by Ujjwal Mehra

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A regular hexagon with side length 2 has semicircles constructed in its interior of each side. What is the shaded.......

posted Nov 6, 2023 by Sandeep Bedi

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A square has a side length of 7. On each corner, a quarter circle with radius 3 is constructed with the corner........

posted Nov 6, 2023 by Pankaj Deshmukh

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Point P is selected uniformly at random in the interior of square ABCD. What is the probability that angle APD..........

posted Oct 26, 2023 by Mishthy Mukherjee

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Three circles of equal size are arranged in a triangle to be pairwise tangent. The vertical distance spanned............

posted Oct 26, 2023 by Yogeshwar Thakur

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The diagram shows a sphere with center O that contains a cone whose diameter AB is equal to its height CM.........

posted Oct 26, 2023 by Yogeshwar Thakur

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What’s the area of the rectangle marked with a question mark in the figure below?

posted Oct 13, 2023 by Vikram Luthra