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The radius of a circle is 1 centimeter. What is the area of a sector bounded by a 90° arc?

User Mrgoos
by
6.9k points

1 Answer

12 votes

Answer:


Area = 0.785cm^2

Explanation:

Given


r = 1cm -- radius


\theta = 90^(\circ)

Required

Determine the area of the sector

This is calculated as:


Area = (\theta)/(360) * \pi r^2

Substitute values for r and
\theta


Area = (90)/(360) * \pi * (1)^2

Simplify 90/360


Area = (1)/(4) * \pi * (1)^2


Area = (1)/(4) \pi

Take
\pi as 3.14


Area = (1)/(4) * 3.14


Area = 0.785cm^2

User Penang
by
6.6k points