Question

Find the area of the shaded portion of the figure.

A.1,772 cm squared
B.2,086 cm squared
C.1,172 cm squared
D.1,527 cm squared

Answer 1

A

Explanation:

Given:

r (radius) = 10 cm

l (length) = 60 cm

w (width) = 40 cm

Find: A (shaded) - ?

First, we have to find the area of the rectangle:

A (rectangle) = l × w

A (rectangle) = 60 × 40 = 2400 cm^2

Now, let's find the area of both circles inside the rectangle:

`a(circles) = 2\pi {r}^(2) = 2\pi * {10}^(2) = 200\pi \: {cm}^(2)`

In order to find the shaded area, we have to subtract the area of both circles from the area of the rectangle:

`a(shaded) = 2400 - 200\pi≈1772 \: {cm}^(2)`