#4Problem of the Week Area of a CircleAssigned Oct 5th Due Oct 12th Grades 7 & 8

All homework is to be done on graph paper to be handed in. Problem of the week is due on Tuesday. Spelling and neatness count, all work must be shown for credit.

The MATHCOUNTS Club sponsor at your school is planning a pizza party for the club’s 10 Mathletes to
kick off the year. The local pizza place has medium and large as the two size options for ordering pizzas.
Unlimited toppings are free on either size pizza, so the club needs to decide what size pizzas to order.
The restaurant currently has a special that if you purchase a pizza, each additional pizza of equal or
smaller size is just $5. An 8‐slice medium pizza pie has a diameter of 11 inches and costs $10.99. A
16‐slice large pizza pie costs $15.99 and has a diameter of 16 ½ inches. What is the area of each size
pizza? Express your answer as a decimal to the nearest hundredth.

SOLUTION
Using A = pi r ^ 2
radius = diameter divided by 2
Area of a medium pizza

A =Õ r^s

A = Õ (5.5) ^2

A = 95.03in^2

For a large pizza

A = Õ (8.25)^2

A = 213.82 in^2