Question

6. Find the area of the circle whose circumference is 264 mm.​

Answer 1

Answer:

Given:

A circle of a circumference is 264mm.

To find:

The area of the circle.

Explanation:

We know that formula of the circumference: 2πr

→ 264mm = 2 × 22/7 × r

→ 264mm = 44/7 × r

→ r=\:\frac{\cancel{264}*7}{\cancel{44}}r=

44

264

∗7

→ r= (6 × 7)mm

→ r= 42mm.

Now,

We know that formula of the area of circle: πr² [sq. unit]

⇒ Area of the circle= (\frac{22}{7} *42*42)mm^{2}(

7

22

∗42∗42)mm

2

⇒ Area of the circle= (\frac{22}{\cancel{7}} *\cancel{42}*42)mm^{2}(

7

22

∗

42

∗42)mm

2

⇒ Area of the circle= (22 × 6× 42)mm²

⇒ Area of the circle= 5544mm².

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