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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 garden has a perimeter of 125.6 feet. What is the diameter of the garden?
2	Hint	Perimeter of a circle, P = 2πr, where P is the perimeter, r is the radius, and π is a mathematical constant approximately equal to 3.14.
3	Step	Substitute the given value of P	125.6 = 2πr ⇒ r = \$125.6/(2π)\$ ⇒ r = \$125.6/(2 \times 3.14)\$ ⇒ r = \$20\$
4	Step	Diameter of the circle is twice the radius	d = 2r d = 2(20) d = 40
5	Step	Therefore, the diameter of the garden	40 feet

Step

Type

Explanation

Answer

Problem

A circular garden has a perimeter of 125.6 feet. What is the diameter of the garden?

Hint

Perimeter of a circle, P = 2πr, where P is the perimeter, r is the radius, and π is a mathematical constant approximately equal to 3.14.

Step

Substitute the given value of P

125.6 = 2πr

⇒ r = \$125.6/(2π)\$

⇒ r = \$125.6/(2 \times 3.14)\$

⇒ r = \$20\$

Step

Diameter of the circle is twice the radius

d = 2r

d = 2(20)

d = 40

Step

Therefore, the diameter of the garden

40 feet