Question

3. A circular playground has a circumference of 145.2 m. Find its radius and diameter.​

Answer 1

Answer:

• Radius of the playground = 23.1 m
• Diameter of the playground = 46.2 m

Given:

• Circumference of the circular playground = 145.2 m

To Find:

• Radius = ?
• Diameter = ?

Solution:

According to the question, Circumference is given and we are said to find radius and diameter.

As we know that,

$\: \sf \: circumference \: of \: the \: circle = 2\pi \: r$

Now put on formula

$\: \sf 145.2m = 2 \times \frac{22}{7} \times r \\ \\ \sf \: 145.2 \times 7= 44r \\ \\ \sf \: 1016.4 = 44r \\ \\ \sf \: r = \frac{1016.4}{44} \\ \\ \sf \therefore \: r = 23.1m$

Hence, Radius of playground is 23.1m.

Now,find the diameter of the playground

As we know

•Diameter = 2 × radius

Now,put on formula

$\: \sf \: diameter = 2 \times 23.1 \\ \\ \: \sf \: \therefore \: diameter = 46.2m$

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Answer 2

★ Question :-

• A circular playground has a circumference of 145.2 m. Find its radius and diameter.

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★ Given :-

• Circumference of circle = 145.2 m

★ To find :-

• Radius of circular playground.
• Diameter of circular playground.

★ Formulae to be used :-

• Circumference of circle = 2πr
• Radius = 2(diameter)

★ Solution :-

• Circumference of circle = 2πr

→ 145.2 = 2 × 22/7 × r

→ 145.2 × 7/2 × 22 = r

→ 1016.4 / 44 = r

→ 23.1 = r

• ➭ Radius = 23.1m

Now,finding diameter :

→ D = 2r

→ D = 2(23.1)

→ D = 46.2

• Therefore,diameter = 46.2m