Find the Area of a segment of a circle if

DIAMMIBENVERMk1 2022-07-07 Answered
Find the Area of a segment of a circle if the central angle of the segment is 105 degrees and the radius is 70.
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Answers (2)

Tristin Case
Answered 2022-07-08 Author has 15 answers
You can work out the area of the sector then subtract the area of the triangle.
The area of a sector is given by 1 2 r 2 θ if θ is in radians or 1 2 r 2 π θ 180 if θ is in degrees.
The area of the triangle is give by 1 2 r 2 sin θ.
Combining these two gives: 1 2 × 70 2 × π × 105 180 1 2 × 70 2 × sin 105 2123.34
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skynugurq7
Answered 2022-07-09 Author has 3 answers
Formulas that you need to know:
(1) The area formula for A B C [ A = 1 2 a b sin C ].
(2) The area of a sector (OAB) formula [ A = 1 2 r 2 θ ]; where θ is the central angle and it should be in radian instead of degree.Added. The conversion formula is [ [ π radians = 180 0 ].
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