The circumference of a circle is 94.2 centimeters. What is the area of the circle?

94.2 cm2
706.5 cm2
188.4 cm2
1,413 cm2

Respuesta :

The answer would be 706.5 cm² 
94.2 ÷ 3.14 = 30 
30 ÷ 2 = 15
15 * 3.14 * 15 = 706.5 cm² 

The area of the circle is 706.5 cm².

What is area?

Area is the region bounded by a plane shape.

To calculate the area of the circle, we need to first find the radius of the circle.

Formula:

  • P = 2πr............ Equation 1

Where:

  • P = Perimeter of the circle
  • r = Radius of the circle

Make r the subject of the equation

  • r = P/2π............. Equation 2

From the question,

Given:

  • P = 94.2 cm
  • π  = 3.14

Substitute these values into equation 2

  • r = 94.2/(2×3.14)
  • r = 94.2/6.28
  • r = 15 cm.

Finally, to calculate the area of the circle, we use the formula below.

  • A = πr².............. Equation 2
  • A = 3.14(15²)
  • A = 706.5 cm²

Hence, the area of the circle is 706.5 cm².

Learn more about area here: https://brainly.com/question/17713367

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