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If arc ABC measures 8, what is the area of the circle?
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07 Apr 2022, 05:31
07 Apr 2022, 05:31
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Question Stats:
85% (00:48) correct
14% (01:37) wrong based on 7 sessions
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GRE If arc ABC measures 8π, what is the area of the circle.jpg [ 18.37 KiB | Viewed 1566 times ]
If arc ABC measures \(8 \pi\), what is the area of the circle?
Show: ::
\(
144 \pi\)
144 \pi\)
Re: If arc ABC measures 8, what is the area of the circle?
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07 Apr 2022, 19:26
07 Apr 2022, 19:26
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The angle with the arc is \(120\). Hence the arc is covering \(one-third\) of the circle.
Total circumference \(= 3 * 8π = 24π = 2πr\)
\(r = 12\)
Area \(= πr^2 = 144π\)
Answer 144π
Total circumference \(= 3 * 8π = 24π = 2πr\)
\(r = 12\)
Area \(= πr^2 = 144π\)
Answer 144π
gmatclubot
Re: If arc ABC measures 8, what is the area of the circle? [#permalink]
07 Apr 2022, 19:26
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