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2 votes
The radius of a circle is 8 kilometers. What is the area of a sector bounded by a 90 degree arc

2 Answers

1 vote

Explanation:

radius=8

θ=90 degree or 90 ×π/180 = 1.57079 approximately to 1.5708 radian

area of sector=?

area of sector =½×r ²×θ

= ½×8² × 1.5708

= 50.2656

User Nebelhom
by
5.1k points
5 votes

Answer:

≈ 100.53 Km²

Explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

= πr² ×
(90)/(180)

= π × 8² ×
(1)/(2)

= 64π × 0.5 = 32π ≈ 100.53 Km² ( to 2 dec. places )

User Chris Marinos
by
4.6k points