Find the central angle θ which forms a sector area 18 square feet of a circle of a radius of 10 feet?

animeagan0o8

animeagan0o8

Answered question

2023-01-21

Find the central angle θ which forms a sector area 18 square feet of a circle of a radius of 10 feet?

Answer & Explanation

temeljcemk24

temeljcemk24

Beginner2023-01-22Added 7 answers

The following formula can be used to calculate a sector's area.
A=12r2θ
r is the radius. θ is the central angle measure.
In this problem, we want to solve for θ. The formula can be rearranged to make this process simpler.
2Ar2=θ
Now all we have to do is enter the radius and area values that we are aware of.
2(18)102=θ
36100=θ
0.36=θ
It is important to remember that this answer is in radians. If we want the answer in degrees, we can convert it.
radians=degreesπ180
0.36=degreesπ180
64.8π=degrees
20.626=degrees

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