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1 vote
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In circle E with m \angle DEF= 70m∠DEF=70 and DE=13DE=13 units find area of sector DEF. Round to the nearest hundredth.

User Pavel Zimogorov
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2.5k points

2 Answers

17 votes
17 votes

Answer: 103.24

Explanation:

User Chris Evans
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2.9k points
9 votes
9 votes

Answer:

103.18units³

Explanation:

Area of the sector DEF = theta/360 * πr²

r is the radius

theta is the angle subtended at the centre

theta =70 degrees

radius DE = 13units

Substitute

Area of the sector = 70/360 * 3.14(13)²

Area of the sector = 7/36 * 530.66

Area of the sector = 3,714.62/36

Area of the sector = 103.18units³ (to the nearest hundredth)

User Parth Savadiya
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3.3k points