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
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Answer 1

Answer:

arc XY = 15 units

Step-by-step 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 = $\frac{\theta}{360} \times (Circumference \: of \: the \: circle)$ where θ is the angle subtended by arc of the sector at the center of the circle.

SOLUTION :-

$XY = \frac{60}{360} \times 90 = \frac{90}{6} = 15$