A circular sector with central angle equal to 120 as shown in figure. We want to place a square symmetrically in it as shown. If the radius of the circular sector is 100 units, what is the side length of the square ?
In the image below there are two tangent semicircles. The side length of the square is 36cm.
What is the length of the radius of the yellow circle?
A circular sector can be folded into a cone by joining its two radii.
For a circular sector with a radius equal to 1, what is the maximum volume of the cone? If the circular sector has a central angle θ, what is the value of θ at the maximum volume?
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?
ABCD is a square with side length R. Find the radius of the red circle in terms of R?
If AF=1 and AB=AC=7 in the given image then what would be the radius of grey circle?