Step-3

Title: Area of a circle

Grade: 8-a Lesson: S4-L4

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

Description:

Step Type Explanation Answer

1

Problem

The circumference of a circular disc is 62.8 cm. Find its area.(Use π = 3.14)

2

Hint

Formula used

\$"circumference" = 2\pi r\$

\$"Radius(r)" = "circumference" / (2\pi)\$

3

Step

Given that,

Circumference of a circular disc =

62.8 cm

4

Step

Radius of circular disc

\$"Radius(r)" = "circumference" / (2\pi)\$

5

Step

Substitute the given value of circumference and the value of \$\pi\$

\$r = (62.8 cm) / (2 \times 3.14)\$

\$r = (62.8 cm) / (6.28)\$

r = 10 cm

6

Step

\$"Area" = \pi r^2\$

Substitute the value of pi and the calculated value of

\$Area (A)= 3.14 \times 10^2 \$

⇒ \$Area (A)= 3.14 \times 100 \$

⇒ \$A = 314 cm^2\$

7

Step

Therefore, the area of a circular disc is

\$314 cm^2\$


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