Question

Find the area of the circle. A circle has a diameters of 17 centimeters. Pi value is 3.142
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Answer 1

Answer:

Area of the circle = 227.0095 cm^2

Step-by-step explanation:

Given:

• Diameter (D) = 17 cm
• π = 3.142

To Find:

Area of the circle

Soln:

We know that,

Area of the circle: πr²

where:

• π = 3.142
• r = radius

But we don't know the radius,as the diameter is given.We could use the formula of diameter & plug the value of it do find the radius.

• We know that,

$\rm \: Diameter = 2(r)$

Where

• r = radius

Substitute the value of Diameter:

Diameter = 2r

17 = 2r

17/2 = r

8.5 = r

r = 8.5

Now we got the radius, so substitute radius onto the formulae:

• Area of the circle = πr²
• Ar(circle) = π(8.5)²
• Ar(circle) = 72.25π(Answer in terms of π)
• Ar(circle) = 72.25 * 3.142
• Ar(circle) = 227.0095 cm^2

Answer 2

$\text{Area of circle} = \pi\cdot \text{Radius}^2\\\\\\~~~~~~~~~~~~~~~~~~=\pi~ \left( \dfrac{\text{Diameter}}2 \right)^2\\\\\\~~~~~~~~~~~~~~~~~~=3.142 \left(\dfrac{ 17}2 \right)^2\\\\\\~~~~~~~~~~~~~~~~~~=227.0095~ \text{cm}^2$