Asked by Jessica
Points A, B, and C lie on a circle with center Q.
*The area of sector AQB is twice the area of sector BQC
*The length of arc AB is 28 centimeters
What is the length, in centimeters, of arc BC?
*The area of sector AQB is twice the area of sector BQC
*The length of arc AB is 28 centimeters
What is the length, in centimeters, of arc BC?
Answers
Answered by
oobleck
the area a is proportional to the arc length s.
s = rθ
a = 1/2 r^2 θ = 1/2 rs
so, if the area of BQC is 1/2 the area of AQB, BC is 1/2 of AB, or 14cm
s = rθ
a = 1/2 r^2 θ = 1/2 rs
so, if the area of BQC is 1/2 the area of AQB, BC is 1/2 of AB, or 14cm
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