Question

6) A circular tablecloth has a radius of 2.5 feet. Mrs. Thompson is teaching her class how to sew a piece
of ribbon around the edge to give the tablecloth some flair. If Mrs. Thompson has exactly enough
ribbon to go around the table cloth, how much ribbon does she have?
a. 7.85 ft
b. 15.7 ft
c. 19.63 ft
d. 31.4 ft

7) Meghan wants to put a circular rug in her dining room. She wants to get the rug specially made with the
fabric design she chooses. After measuring she decides that she wants the rug to have a radius of 30
inches. Once she picks out the fabric design she wants the rug to be, how much fabric should she tell
the store is needed to make the rug?
a. 2,826 in2
b. 188 in2
c. 11, 304 in2
d. 1,147 in2

Answer 1

Given,

Radius = 2.5 feet

To find,

Length of ribbon.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Here,

the length of ribbon = circumference of the circular tablecloth = 2×π×2.5 = 15.7 feet (approx).

Hence, she has ribbon of length 15.7 ft.

______________________________________

Given,

Radius of rug = 30 inches

To find,

Area of fabric.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Area of fabric :

= π × (30)²

= 2827.43 inch²

» Nearby value = 2826 inch²

Hence, the area of fabric is 2826 inch².