humamorina1234 humamorina1234
  • 12-05-2019
  • Mathematics
contestada

The circumference of a circle is 9 pi.What is the area,in square inches,of a circle?Express your answer in terms of pi.

Respuesta :

jimrgrant1 jimrgrant1
  • 12-05-2019

Answer:

20.25π

Step-by-step explanation:

The circumference (C) of a circle is calculated using the formula

C = 2πr ← r is the radius

given C = 9π, then

2πr = 9π ( divide both sides by 2π )

r = [tex]\frac{9\pi }{2\pi }[/tex] ( cancel the π on numerator/denominator )

  = 4.5

The area (A) of a circle is calculated using the formula

A = πr² = π × 4.5² = 20.25π

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