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Question

Difficulty: EasyPerimeter and Area of 2D Figures

A circular stage has a radius of 55 meters. Which of the following represents the total area of the stage, in square meters?

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

Answer

The area of the stage is 25π25\pi square meters.
The correct answer is found by using the formula for the area of a circle, A=πr2A = \pi r^2. Substituting the radius of 5 meters into the formula gives A=π(5)2=25πA = \pi (5)^2 = 25\pi.

Step-by-Step Solution

1
Identify the correct formula for the area of a circle.
A=πr2A = \pi r^2
The question asks for the total area of a circular surface.
2
Substitute the given radius into the area formula.
A=π(5)2A = \pi (5)^2
The problem states that the radius of the stage is 5 meters.
3
Calculate the final area.
A=25πA = 25\pi
Squaring 5 yields 25, resulting in an area of 25π25\pi.

Key Concept

Area of a Circle
Estimated Time:45s
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Topics

Perimeter and Area of 2D Figures

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