Question

the diameter of the pizza is 10 inches. what is the radius of the pizza? what is the circumference of the pizza? what is the area of the pizza? use the given information to complete the worksheet. use 3.14 as an approximation for π. radius of the pizza diameter of the pizza circumference of the pizza area of the pizza diagram labeled value area formulas: parallelogram a = bh square a = s² triangle a = 1/2 bh trapezoid a = 1/2 h(b1 + b2) circle a = πr²

Explanation:

Step1: Recall radius - diameter relationship

The diameter $d$ of a circle is twice the radius $r$, i.e., $d = 2r$. Given $r=10$ inches, then $d = 2\times10=20$ inches.

Step2: Calculate the circumference

The formula for the circumference of a circle is $C = 2\pi r$ or $C=\pi d$. Using $\pi\approx3.14$ and $d = 20$ inches, we have $C=3.14\times20 = 62.8$ inches.

Step3: Calculate the area

The formula for the area of a circle is $A=\pi r^{2}$. Substituting $r = 10$ inches and $\pi\approx3.14$, we get $A=3.14\times10^{2}=3.14\times100 = 314$ square - inches.

Answer:

Radius of the Pizza: 10 inches
Diameter of the Pizza: 20 inches
Circumference of the Pizza: 62.8 inches
Area of the Pizza: 314 square inches