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18 votes
18 votes
The radius of a circle is 10 meters. What is the area of a sector bounded by a 90 degree arc?

User Justin Woodmancy
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1 Answer

26 votes
26 votes

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

radius = 10 m

Step 02:

area ( 90° sector) :

total area ( 360° ):

area = π r² = π (10 m)² = π * 100m² = 314.16 m²

area ( 90° sector):

360° / 4 = 90°

area = 314.16 m² / 4 = 78.54 m²

The answer is:

78.54 m²

User Nicholas Carey
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2.8k points