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Step-3

Title: Semi-circles

Grade: 8-a Lesson: S4-L5

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

Description:

Step	Type	Explanation	Answer
1	Problem	Find the diameter of a semi-circle with a circumference of 20π cm.
2	Hint	Formula used	\$"circumference" =(π/2)d\$
3	Step	Given that, Circumference of a semi-circle is	20π cm
4	Hint	Diameter of semi-circle is	\$"Diameter(d)" = (2 \ times "circumference") / \pi\$
5	Step	Substitute the given value of circumference	\$d = (2 \times 20 \cancel\pi) / \cancel\pi\$ ⇒ \$d = 2 \times 20\$ ⇒ d= 40 cm
6	Step	Therefore, the diameter of a semi-circle is	\$40 cm\$

Step

Type

Explanation

Answer

Problem

Find the diameter of a semi-circle with a circumference of 20π cm.

Hint

Formula used

\$"circumference" =(π/2)d\$

Step

Given that,

Circumference of a semi-circle is

20π cm

Hint

Diameter of semi-circle is

\$"Diameter(d)" = (2 \ times "circumference") / \pi\$

Step

Substitute the given value of circumference

\$d = (2 \times 20 \cancel\pi) / \cancel\pi\$

⇒ \$d = 2 \times 20\$

⇒ d= 40 cm

Step

Therefore, the diameter of a semi-circle is

\$40 cm\$