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If angle ABC is 40 degrees (see figure), and the area of the circle is
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05 Mar 2021, 07:00
05 Mar 2021, 07:00
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If angle ABC is 40 degrees (see figure), and the area of the circle is \(81π\), how long is arc AXC?
A. \(2π\)
B. \(4π\)
C. \(5π\)
D. \(6π\)
E. \(8π\)
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Re: If angle ABC is 40 degrees (see figure), and the area of the circle is
[#permalink]
05 Mar 2021, 08:31
05 Mar 2021, 08:31
1
GeminiHeat wrote:
Attachment:
7.jpg
If angle ABC is 40 degrees (see figure), and the area of the circle is \(81π\), how long is arc AXC?
A. \(2π\)
B. \(4π\)
C. \(5π\)
D. \(6π\)
E. \(8π\)
\(πr^2 = 81π\)
\(r = 9\)
Draw O as the center of the circle.
Join OA and OC.
We know, Central angle is twice the angle subtended between the two chords i.e. Angle AOC = 80
Arc Length AXC = \(\frac{80}{360}(2π)(9) = 4π\)
Hence, option B
Re: If angle ABC is 40 degrees (see figure), and the area of the circle is
[#permalink]
01 Mar 2022, 08:52
01 Mar 2022, 08:52
You should add "BC is the diameter of circle"
