Question

What is the area of the following circle?
Either enter an exact answer in terms of
π
πpi or use
3.14
3.143, point, 14 for
π
πpi and enter your answer as a decimal.

Answer 1

Answer:

49π

Step-by-step explanation:

Area of a circle is πr², r being the radius.

The radius is half the diameter. The diameter is 14 there for it's radius is 7. Plug in the 7 to the equation above.

π 7² = 49π

Answer 2

To solve the problem we will first calculate the radius of the circle and substitute the value in the formula of the area of a circle.

Area of the circle

Area of the circle $=\pi r^2$

The area of the circle is 49π or 153.86 unit².

Given to us

• Diameter, d = 14
• π = 3.14

Solution

Radius of the circle

Radius,

$\rm{ r = \dfrac{Diameter}{2} = \dfrac{d}{2}=\dfrac{14}{2} =7$

Thus, the radius of the circle is 7.

Area of the circle

Area of the circle $=\pi r^2$

                             $=\pi\times (7)^2\\ = 49\pi$

Substituting the value of π = 3.14,

Area of the circle $=49\pi\\ = 49 \times 3.14\\ = 153.86$

Hence, the area of the circle is 49π or 153.86 unit².

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