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Step-1

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 cart wheel is 11.2 m. Find the distance traveled when it completes 80 revolutions.
Formula used	\$"Circumference" = 2\pi r\$
Step - 1	Diameter of a cart wheel = \$11.2 m\$
Step - 2	Radius of wheel = \$(11.2)/2 = 5.6 m\$
Step - 3	Distance traveled when 80 revolutions are completed = 80 x circumference of the wheel = \$80 \times 2 \times (22/\cancel7^1) \times \cancel(5.6)^0.8\$ = \$80 \times 2 \times (22) \times 0.8\$ = \$2816\$
Step - 4	Hence, distance traveled when 80 revolutions are completed is 2816 m

Explanation

Answer

Problem

The diameter of a cart wheel is 11.2 m. Find the distance traveled when it completes 80 revolutions.

Formula used

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

Step - 1

Diameter of a cart wheel = \$11.2 m\$

Step - 2

Radius of wheel = \$(11.2)/2 = 5.6 m\$

Step - 3

Distance traveled when 80 revolutions are completed

= 80 x circumference of the wheel

= \$80 \times 2 \times (22/\cancel7^1) \times \cancel(5.6)^0.8\$

= \$80 \times 2 \times (22) \times 0.8\$

= \$2816\$

Step - 4

Hence, distance traveled when 80 revolutions are completed is 2816 m