Examkin

Question

Difficulty: EasyCircles

A circular target has a diameter of 1010 inches. What is the area of the target in square inches?

  1. 25π25\piAnswer
  2. B
    100π100\pi
  3. C
    10π10\pi
  4. D
    5π5\pi

Answer

The correct answer is 25π25\pi square inches.
The correct area is found by first dividing the diameter of 1010 inches by 22 to get a radius of 55 inches. Squaring the radius gives 2525, which is then multiplied by π\pi to yield 25π25\pi square inches.

Step-by-Step Solution

1
Find the radius of the circular target.
r=102=5r = \frac{10}{2} = 5 inches.
The area formula requires the radius, which is exactly half of the given diameter.
2
Apply the formula for the area of a circle.
A=πr2=π(5)2=25πA = \pi r^2 = \pi (5)^2 = 25\pi.
Substitute the calculated radius into the standard area formula to find the final square footage.

Key Concept

Area of a Circle
Rate this question

Topics

Circles

More questions from this topic