Question

If the circumference of the circle below is 90, what is the length of the minor arc)? 609 A. 90 B. 15 C. 30 D. 10

​

Answer 1

arc XY = 15 units

Explanation:

GIVEN :-

• Angle subtended by arc XY at center = 60°
• Circumference of the circle = 90 units.

TO FIND :-

• Length of XY

FACTS TO KNOW BEFORE SOLVING :-

Length of arc of the sector =
`(\theta)/(360) * (Circumference \: of \: the \: circle)` where θ is the angle subtended by arc of the sector at the center of the circle.

SOLUTION :-

`XY = (60)/(360) * 90 = (90)/(6) = 15`