Shaded Region – Circle Inscribed in a Square
A circle with radius 3 cm is inscribed in a square.
Find the area of the shaded region. Let pi = 3.14 and round your answer to the nearest tenths.
We know that
area of shaded region = area of square – area of circle
We find the area of the square and the circle. The diameter of the circle is 6 cm. This is the same as the length of the square.
area of the square = 6 cm × 6 cm
area of the square = 36 sq. cm.
area of the circle = pi × r × r
area of a circle = 3.14 × 3× 3
area of the circle = 28.26 sq. cm.
Now, we find the area of the shaded region.
area of shaded region = 36 – 28.26 = 7.74 sq. cm.
Rounding to the nearest tenths, the final answer is 7.7 sq. cm.