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What is the area of the beach ball with a diameter of 14 in. ?

2 Answers

5 votes

Answer:

615.8 in²

Explanation:

The area of a sphere is given by the formula ...

A = 4πr² . . . . . sphere of radius r

In terms of diameter, the area is ...

A = 4π(d/2)² = πd²

__

For a diameter of 14 inches, the area of the beach ball is ...

A = π(14 in)² = 196π in² ≈ 615.8 in²

The area of the ball is about 615.8 square inches.

User Bandantonio
by
4.1k points
13 votes

Answer:

The answer is 675.75 square Inches

Explanation:

Given;

  • Diameter (d) = 14 in.

To Find;

  • Area of beach ball = ?

Formula;

  • Area = 4πr²

Now,

Radius (r) = diameter ÷ 2

r = 14/2 in.

r = 7 in.

Now,

A = 4πr²

A = 4 × 22/7 × (7)² in.

A = 4 × 22 × 7 in.

A = 615.75 square in.

Thus, The area of the beach ball with a diameter of 14 in. is 615.75 square in.

User Noam Solovechick
by
4.6k points