Question

A sector with a radius of \maroonD{8\,\text{cm}}8cmstart color #ca337c, 8, start text, c, m, end text, end color #ca337c has a central angle measure of \purpleD{225\degree}225°

Answer 1

Answer:

The area of the sector is 40πcm²

Step-by-step explanation:

The question looks incomplete. Here is the restructured question.

"A sector with a radius of 8cm has a central angle measure of 225°. Find the area of the sector"

Formula for calculating the area of the sector is given as shown;

Area of a sector= $\frac{\theta}{360^{0} } *\pi r^{2}$

$\theta$ is the central angle and r is the radius of the circle.

Given radius = 8 cm and $\theta$ = 225°

On substitution, area of a sector = $\frac{225}{360} * \pi (8)^{2}$

$= 225/360 * 64\pi \\=0.625*64\pi \\= 40\pi cm^{2}$

The area of the sector is 40πcm²