Question

HELP
The circumference of a circle is 44 cm. Find its area (use π = 22/7)

Answer 1

We know that the formula for the circumference of a circle is given by:

C = 2πr

where C is the circumference and r is the radius of the circle.

In this case, we are given that the circumference is 44 cm. Substituting this value, we get:

44 = 2πr

Using π = 22/7, we can solve for the radius:

44 = 2(22/7)r

Multiplying both sides by 7/44, we get:

r = 7/2

Now that we know the radius of the circle is 7/2 cm, we can use the formula for the area of a circle:

A = πr^2

Substituting the value of r, we get:

A = (22/7) * (7/2)^2

Simplifying, we get:

A = (22/7) * 49/4

A = 385/28 square cm

Therefore, the area of the circle is 385/28 square cm.

Answer 2

154 cm²

Explanation:

We know that, the formula to find the circumference of a circle is:

C = 2 π r

Here,

C = circumference ⇒ 44 cm

r = radius

First, let us find the value of r.

`\sf C = 2\pi r\\\\44 = 2 *(22)/(7)*r\\\\44 =(44r)/(7)\\\\44*7=44r\\\\(44*7)/(44) =r\\\\7\:cm=r`

Let us find the area of the circle.

The formula to find the area of a circle is:

A = π r²

`\sf Let\:us\:find\:it\:now.\\\\A = \pi r^2\\\\A=(22)/(7) *7*7\\\\A =(1078)/(7)\\\\A= 154cm^2`