Question

A 4cm×6cm rectangle sits inside a circle with a radius of 11cm. What is the area of the shaded region? Round your final answer to the nearest hundredth.

a) 13.75cm²

b) 19.92cm²

c)23.56cm⁶2

d) 29.14cm²

Answer 1

The area of the shaded region is approximately 355.94 cm².

Step-by-step explanation:

To find the area of the shaded region, we need to subtract the area of the rectangle from the area of the circle. The area of the rectangle is 4 cm x 6 cm = 24 cm².

The area of the circle is πr² = 3.14 x (11 cm)² = 379.94 cm². Subtracting the area of the rectangle from the area of the circle gives us 379.94 cm² - 24 cm² = 355.94 cm². Rounding to the nearest hundredth, the area of the shaded region is approximately 355.94 cm².