Middle School

How much greater is the area of a circle with a radius of 6.2 inches than the area of a square with a side length of 4 inches?

Answer :

Answer:

7.54 times greater.

Step-by-step explanation:

The square with a side length of 4 inches has a 4×4=16 inches squared area. The area of a cirkel is calculated with the formula \pi×r^2. Using the 6.2 inch radius given, we get \pi×6.2^2=120.76 inches squared. 120.76/16=7.54 times greater.

Final answer:

Calculate the difference in area between a circle and a square given their respective dimensions.

Explanation:

To find the area of a circle with a radius of 6.2 inches:

  1. Calculate the area using the formula A = πr², where r = 6.2 inches.
  2. Area of circle = π x (6.2)² = 38.48 square inches.

To find the area of a square with a side length of 4 inches:

  1. Calculate the area of the square using the formula A = s², where s = 4 inches.
  2. Area of square = 4 x 4 = 16 square inches.

Subtract the area of the square from the area of the circle to find the difference:

Difference = 38.48 - 16 = 22.48 square inches.