Question

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

Answer 1

Answer:

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

Step-by-step 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