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Title: Circles

Grade: 8-a Lesson: S2-L6

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

Description:

Explanation	Answer
Problem	The diameter of a circular park is 126 m. Find the cost of fencing it at $6 per meter.
Formula used	\$"Circumference" = 2\pi r\$
Step - 1	Diameter of the circular park = 126 m.
Step - 2	Radius of the circular park = \$(126)/2 = 63 m\$
Step - 3	Cost of fencing = $6 per meter.
Step - 4	Length covered by fencing = circumference of the circular park.
Step - 5	Circumference of the park = 2πr ⇒ Circumference of the park = \$2 \times (22)/\cancel7^1 \times \cancel(63)^9\$ ⇒ Circumference of the park = \$2 \times 22 \times 9\$ ⇒ Circumference of the park = \$2 \times 22 \times 9 = 396m\$
Step - 6	Cost for fencing = \$396 \times 6 = 2376\$
Step - 7	Hence, the cost for fencing is \$$2376\$

Explanation

Answer

Problem

The diameter of a circular park is 126 m. Find the cost of fencing it at $6 per meter.

Formula used

\$"Circumference" = 2\pi r\$

Step - 1

Diameter of the circular park = 126 m.

Step - 2

Radius of the circular park = \$(126)/2 = 63 m\$

Step - 3

Cost of fencing = $6 per meter.

Step - 4

Length covered by fencing = circumference of the circular park.

Step - 5

Circumference of the park = 2πr

⇒ Circumference of the park = \$2 \times (22)/\cancel7^1 \times \cancel(63)^9\$

⇒ Circumference of the park = \$2 \times 22 \times 9\$

⇒ Circumference of the park = \$2 \times 22 \times 9 = 396m\$

Step - 6

Cost for fencing = \$396 \times 6 = 2376\$

Step - 7

Hence, the cost for fencing is \$$2376\$