Question

A \greenD{4\,\text{cm} \times 6\,\text{cm}}4cm×6cmstart color greenD, 4, space, c, m, times, 6, space, c, m, end color greenD rectangle sits inside a circle with radius of \blueD{11\,\text{cm}}11cmstart color blueD, 11, space, c, m, end color blueD.

What is the area of the shaded region?

Round your final answer to the nearest hundredth.

Answer 1

356 cm².

Explanation:

Step one: The first thing to do here is to Calculate the area of rectangle. The area of the rectangle can be calculated by using the formula below;

Area of rectangle = width × length = 6 × 4 = 24 cm².

Step two: the next step is to calculate the area of the circle. The area of the circle can be calculated by using the formula below;

Area of a circle = (radius)^2 × π.

Area of a circle = (11)^2 × π = 380.13 cm².

Step three: the next thing to do is to calculate the area of the shaded region which is the difference between the Area of a circle and the Area of rectangle.

That is; 380.13 cm² - 24 cm² = 356.13 cm².