Question

Points A,
B,
and Q
are on circle C.Given that m∠ACB=52∘,
what is the arc length of AQB⌢?
Responses

Answer 1

To find the arc length of AQB⌢, we need to first find the measure of the central angle formed by points A, B, and Q on the circle.

Since m∠ACB = 52°, this means that the central angle formed by points A, B, and Q on the circle is twice that measure:
Central angle = 2 * m∠ACB = 2 * 52° = 104°

Now, we can use the formula for finding the arc length of a circle given the central angle:
Arc Length = (Central Angle / 360) * 2πr
where r is the radius of the circle.

Since we are not given the radius of the circle, we are unable to calculate the exact arc length of AQB⌢ without additional information.