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Sagot :
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,
[tex] \rm \: Diameter = 2(r)[/tex]
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
[tex]\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[/tex]
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