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What is the radius of the circle which has a sector area of 9π and whose central angle is90?

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RADIUS

Given

  • Area of the Sector (A) = 9π
  • Central Angle (c) = 90°
  • Radius (r) = ?

A = cπr² / 360

9π = (90°)(π)(r²) / 360

9π = 90πr² / 360

(9π)(360) = 90πr²

3240π = 90πr²

3240π / 90π = 90πr² / 90π

r² = 36

√r² = √36

r = 6

[tex] \: [/tex]

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