Question

in the chart below, the radius, r, of a circle is given. find the values of d (diameter), c (circumference), and a (area) for this particular circle. leave π in your answers. (type exact answers, using π as needed.) r = 7 cm

Explanation:

Step1: Recall the formula for diameter

The diameter $d$ of a circle is related to the radius $r$ by $d = 2r$. Given $r=7$ cm, so $d = 2\times7=14$ cm.

Step2: Recall the formula for circumference

The circumference $C$ of a circle is given by $C = 2\pi r$. Substituting $r = 7$ cm, we get $C=2\pi\times7 = 14\pi$ cm.

Step3: Recall the formula for area

The area $A$ of a circle is given by $A=\pi r^{2}$. Substituting $r = 7$ cm, we have $A=\pi\times7^{2}=49\pi$ $cm^{2}$.

Answer:

d: 14 cm
C: $14\pi$ cm
A: $49\pi$ $cm^{2}$