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What is the radius of a circle with a sector area of 7 sq. ft. and an arc whose measure is 70°? 6 feet 10 feet 18 feet

User Krash
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2 Answers

4 votes
70/360 times area of circle=7 square feet
times both sides by 360/70
area of circle=36 square feet

area=pir^2

36=pir^2
divide both sides by pi or 3.141592 aprox
11.459155902616464175359630962821=r^2
sqrt both sides
3.3851375012865377216884767093646=r
about 3 ft
????
not listed why



User Marena
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7.9k points
1 vote
The radius of that circle would be 6 feet. 70/360 is going to be .19444(repeated) and the Math:Fraction of that is 7/36. Pi*Radius²=36 means the radius is 6. 
User Dinesh Reddy Alla
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8.3k points