marvellousp563 marvellousp563
  • 09-07-2020
  • Mathematics
contestada

the area of a sector of a circle of radius 15cm is 110cm², calculate the angle of subtended at yhe center of the circle by the arc?​

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 10-07-2020

Answer:

  44/45 radians

Step-by-step explanation:

The area is given by the formula ...

  A = (1/2)r²θ

where θ is the central angle in radians.

Filling in the given numbers, we have ...

  110 cm² = (1/2)(15 cm)²θ

  θ = (220 cm²)/(225 cm²) = 44/45 radians

The subtended angle is 44/45 radians, about 56.02°.

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