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Given Circle O in Figure 2, find the following:
a. The value of x.
b. The radius of the circle.
c. The circumference of the circle.
d The area of the circle

Given Circle O in Figure 2 find the following a The value of x b The radius of the circle c The circumference of the circle d The area of the circle class=

Respuesta :

Answer:

  1. x = 5
  2. Radius = 5
  3. Circumference = 31.4
  4. Area = 78.5

Step-by-step explanation:

Finding x :

  • Applying the Pythagorean Theorem,
  • x² + 12² = (8 + x)²
  • x² + 144 = 64 + 16x + x²
  • 16x = 80
  • x = 5

Finding the radius :

  • The radius of the circle is equal to x (According to the diagram)
  • Radius = 5

Finding the circumference :

  • Circumference = 2πr
  • Circumference = 2 x 3.14 x 5
  • Circumference = 3.14 x 10
  • Circumference = 31.4

Finding the area :

  • Area = πr²
  • Area = 3.14 x (5)²
  • Area = 3.14 x 25
  • Area = 78.5

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