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The radius of a circle is 5 centimeters. What is the area of a sector bounded by a 90° arc?

900
r=5 cm
Give the exact answer in simplest form.
square centimeters

User Coorasse
by
6.2k points

1 Answer

3 votes

The area of a sector of a circle is given by the formula:

A = (θ/360) × πr^2

where θ is the central angle of the sector in degrees, r is the radius of the circle, and π is the mathematical constant pi.

In this case, the radius of the circle is given as 5 centimeters, and the central angle of the sector is 90°. Substituting these values into the formula, we get:

A = (90/360) × π(5)^2

A = (1/4) × 25π

A = (25/4)π

The exact area of the sector in simplest form is (25/4)π square centimeters.

User Lkdg
by
6.9k points
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