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

180\pi\,\text{cm}^2180πcm

2

Explanation:

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Answer 2

The area of the sector is 40πcm²

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=
`(\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 =
`(225)/(360) * \pi (8)^(2) \\`

`= 225/360 * 64\pi \\=0.625*64\pi \\= 40\pi cm^(2) \\`

The area of the sector is 40πcm²