Leslie buys a large circular pizza that is divided into eight equal slices. She measures along the outer edge of the crust from one piece and finds it to be 5.5 inches. What is …

Question

asked Oct 27, 2019 143k views

1 Answer

Daniel Black · Answer 1 · 2019-11-02T12:15:34+0000

Question 1:

A large circular pizza that is divided into eight equal slices.

Circumference of a whole pizza (circle) =
$2\Pi r$

Since a pizza is divided into 8 equal parts.

So, circumference of 1 part =
$(2\Pi r)/(8)$ =
$(\Pi r)/(4)$ inches

The measure of outer edge of the crust of one piece = 5.5 inches.

$(\Pi r)/(4) = 5.5$

$r = (5.5 * 4)/(\Pi )$

$r = (22)/(\Pi )$

r = 22 * (7)/(22)

r = 7 inches

Therefore, diameter = 2r = 2
7 = 14 inches.

Question 2:

Given length = 15 in

Breadth= 4 in

height = 5 in

We have to determine the surface area of rectangular prism.

Surface area of rectangular prism =

=
2 * ((15 * 4)+ (4 * 5) + (15 * 5))

=
2 * (60+ 20 +75)

= 2
155
in^(2)

= 310
in^(2)

So, the surface area of rectangular prism is 310
.