A 4 cm x 6 cm rectangle sits inside a circle with radius with 11 cm. What is the area of the shaded region?

Question

asked Oct 21, 2020 20.3k views

1 Answer

John Simons · Answer 1 · 2020-10-25T10:26:31+0000

Answer:

The area of the shaded region is
$(121\pi -24)\ cm^(2)$

Explanation:

we know that

The area of the shaded region is equal to the area of the circle minus the area of the rectangle

so

$A=\pi r^(2) -bh$

we have

$r=11\ cm$

$b=4\ cm$

$h=6\ cm$

substitute the values

$A=\pi (11^(2)) -(4)(6)$

$A=(121\pi -24)\ cm^(2)$ ----> exact value of the shaded area