Answer:
see explanation
Explanation:
area of sector = area of circle × fraction of circle
= π × 24² ×
= π × 576 × = 72π units² ← exact value
area of sector = 72π units² ≈ 226.2 units² ( 1 dec. place )
= 72*pi
If we approximate pi
= 226.08
The area of the entire circle is
A = pi * r^2
where r = 24
A = pi * 24^2
A = pi *576
45 degrees is part of a 360 degree circle
45/360 =1/8
Multiply the area by 1/8 since it is 1/8 of the circle
1/8 A = 1/8 * 576pi
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= 72π units² ← exact value