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Step-4

Title: Circles

Grade: 8-a Lesson: S4-L2

Explanation: Let us verify the answer here with the steps.

Description:

Step	Type	Explanation	Answer
1	Problem	A circular pond has an area of 113.04 square feet. What is the diameter of the pond?
2	Hint	Area of the circle \$"Area" = \pi \times r^2\$, where A is the area and r is the radius.
3	Step	Substitute the given value of A	\$"113.04" = \pi \times r^2\$ ⇒ \$(113.04/\pi) = r^2\$ ⇒ \$(113.04/3.14) = r^2\$ ⇒ \$r^2 = 36\$ ⇒ \$r = 6\$
4	Step	Diameter of the circle is twice the radius	d = 2r d = 2(6) d = 12
5	Step	Therefore, the diameter of the pond	12 feet

Step

Type

Explanation

Answer

Problem

A circular pond has an area of 113.04 square feet. What is the diameter of the pond?

Hint

Area of the circle \$"Area" = \pi \times r^2\$, where A is the area and r is the radius.

Step

Substitute the given value of A

\$"113.04" = \pi \times r^2\$

⇒ \$(113.04/\pi) = r^2\$

⇒ \$(113.04/3.14) = r^2\$

⇒ \$r^2 = 36\$

⇒ \$r = 6\$

Step

Diameter of the circle is twice the radius

d = 2r

d = 2(6)

d = 12

Step

Therefore, the diameter of the pond

12 feet