Find the circumference and area of a circle with a diameter of 14 inches. Leave your answers in terms of π. A. C= 14π; A= 49π B. C= 7π; A= 28π C. C= 14π; A= 28π D. C= 7π; A= 49π
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Answer

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Step 1:
: Write down the formula for the circumference and area of a circle.

The area of a circle is given by the formula $$A = πr^2$$, where $$r$$ is the radius of the circle.

Step 2:
: Find the radius of the circle.

The radius is half the diameter, so $$r = \frac{14}{2} = 7$$ inches.
We are given that the diameter of the circle is 14 inches.

Step 3:
: Calculate the circumference.

C = 14π
Substitute the value of the radius into the formula for the circumference:

Step 4:
: Calculate the area.

A = 49π
Substitute the value of the radius into the formula for the area:

Final Answer

So, the correct answer is B. C= 7π; A= 49π.