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KiRa [710]
2 years ago
11

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

Mathematics
1 answer:
Mazyrski [523]2 years ago
4 0

Answer:

arc XY = 15 units

Step-by-step explanation:

<u>GIVEN :-</u>

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

<u>TO FIND :-</u>

  • Length of XY

<u>FACTS TO KNOW BEFORE SOLVING :-</u>

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.

<u>SOLUTION :-</u>

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

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