top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

A small circle is contained inside a quarter circle and tangent to one of its sides. A line segment is constructed......

0 votes
210 views

A small circle is contained inside a quarter circle and tangent to one of its sides. A line segment is constructed to be tangent to the small circle and perpendicular to the other side of the quarter circle. If the line segment has length equal to 12, what is the area shaded in blue, equal to the area of the quarter circle minus the small circle?
enter image description here

posted Dec 12, 2022 by Nikita Sehgal

Looking for solution? Promote on:
Facebook Share Button Twitter Share Button LinkedIn Share Button




Similar Puzzles
0 votes

A square has side length equal to 1 meter. A circle is constructed through one corner of the square and tangent to the opposite two sides of the square. What is the area shaded in blue below, which is the area contained by the square and circle excluding the region where the two shapes overlap?
enter image description here

+1 vote

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.

enter image description here

What is the area of the blue figure?

0 votes

In square ABCD, circle P is tangent to the square and the quarter circle centered at A. If CE is tangent to circle P, what is the measure of ∠ECD?

enter image description here

0 votes

A square contains a semicircle and a quarter circle, as shown. The two circles are tangent to each other. The semicircle has a diameter equal to 12 and the quarter circle has a radius equal to 12.
What is the area of the square?
What is the length of the tangent line segment AB?

enter image description here

0 votes

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?
enter image description here

...