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°

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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= [tex]\frac{\theta}{360^{0} } *\pi r^{2}[/tex]

[tex]\theta[/tex] is the central angle and r is the radius of the circle.

Given radius = 8 cm and [tex]\theta[/tex] = 225°

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

[tex]= 225/360 * 64\pi \\=0.625*64\pi \\= 40\pi cm^{2} \\[/tex]

The area of the sector is 40πcm²

Answer:

180\pi\,\text{cm}^2180πcm

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Step-by-step explanation:

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