In each square, the blue and red areas are equal.
If R is the radius of the quarter-circle on the left and r is the radius of the circle on the right, what is R/r
Ans : 1 Both are have a same radius
2
If you complete the first circle it will cover 4 squares, in other words its area will be 4 times of the smaller one, thus R^2=4*r^2 ----> R/r=2
A square has a side length of 7. On each corner, a quarter circle with radius 3 is constructed with the corner as its center. And on the midpoint of each side, a semicircle with radius 2 is constructed with the midpoint as its center. What is the difference between the orange shaded areas and the blue shaded areas?
The blue figure is made of five quarter-circle arcs (each with integer radius) and a segment of length 4, which is the base of a square grid.
What is the area of the blue figure?
Let ABC be the triangle with AB = 1, AC = 3, and ∠BAC = π/2. If a circle of radius r > 0 touches the sides AB, AC and also touches internally the circumcircle of the triangle ABC, then the value of r is ___.
Square ABCD has a side length of 4. Construct a quarter circle with radius 4 centered at B and a semi-circle with diameter AD. What is the area of overlap between the quarter circle and semicircle?
In a square with a side length of 1, two quarter circles are drawn and a circle is inscribed between the quarter circles, as shown in the diagram. What is the radius of the inscribed circle?
