Question

Find the area of the shape either enter an exact answer in terms of Pi or use 3.14 for pi and enter your answer as a decimal

Answer 1

Given:

Given that the radius of the figure is 6 units.

We need to determine the area of the shape.

Angle of the shape:

The angle of the shape is given by

$\theta=360-90=270$

Hence, the angle of the shape is 270°

Area of the shape:

The area of the shape can be determined using the formula,

$A=(\frac{\theta}{360}) \pi r^2$

Substituting r = 6, we get;

$A=(\frac{270}{360}) (3.14)(6)^2$

Simplifying, we get;

$A=(0.75)(3.14)(36)$

$A=84.78$

Thus, the area of the shape is 84.78 square units.