Examine the diagram of circle A.

Circle A
has a radius of 4
and arc BD
has length of 6.5.
Circle A as described in the text.
Examine the diagram of circle A.
Circle A
has a radius of 4
and arc BD
has length of 6.5.
Circle A as described in the text.

1 answer

Based on the information provided, we can calculate the circumference of circle A using the formula C = 2πr, where r is the radius.

C = 2π(4) = 8π

Since the arc BD has a length of 6.5, we can calculate the angle of the arc using the formula for the length of an arc, which is L = (θ/360) x 2πr, where θ is the central angle in degrees.

6.5 = (θ/360) x 2π(4)
6.5 = (θ/90)π
θ ≈ 164.79 degrees

Thus, the central angle of arc BD is approximately 164.79 degrees in circle A.