Question

A 5cm x 11cm rectangle sits inside a circle with radius of 12 cm. What is the area of the shaded region? Round your final answer to the nearest hundredth.

Answer 1

Explanation:

area of shaded region = 3168/7 - 55 = 397.5cm^2 (app)= 0.397cm^2 ( since we have to round to nearest hundredth

Answer 2

The answer is

397.40 cm²

Explanation:

To find the area of the shaded area first find the area of both the rectangle and the circle and subtract the smaller one from the larger one.

that's

For the rectangle

Area of rectangle = length × width

From the question

length = 5cm

width = 11 cm

So we have

Area of rectangle = 5cm × 11cm = 55cm²

For the circle

Area of a circle = πr²

where r is the radius

From the question

r = 12 cm

Area of circle = π (12)²

= 144π

= 452.40 cm²

Area of shaded figure

Since the area of the rectangle is smaller than that of the circle we subtract the area of the rectangle from the circle

That's

452.40 cm² - 55cm²

= 397.40 cm² to the nearest hundredth

Hope this helps you