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The diameter of a circle is 8 miles. What is the area of a sector bounded by a 180° arc?

I NEED HELP THIS ASSIGNMENT IS DUE TOMORROW IS AN IXL

User Ziumin
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The radius of the circle is half the diameter, so it is 8/2 = 4 miles.

The central angle of the sector is 180°, which is half of the full circle's central angle of 360°.

The area of the sector is given by the formula:

A = (1/2) * r^2 * θ

where r is the radius and θ is the central angle in radians.

To find θ in radians, we can use the formula:

θ (in radians) = (π/180) * θ (in degrees)

For the 180° central angle, θ in radians is:

θ = (π/180) * 180 = π

Now we can plug in the values:

A = (1/2) * 4^2 * π
A = 8π

The area of the sector is 8π square miles.
User ClimbsRocks
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