Question

The diameter of a pizza is 30 cm. What is the area (in cm2) of the upper surface of a sector of the pizza whose arc length is 8 cm?

Answer 1

Answer:

60

Step-by-step explanation:

radius= diameter/2

          =30/2

          =15 cm

$\frac{Area of sector}{Area of circle}$  =  $\frac{arc length}{circle circumference}$

$Area \ of sector=\frac{Arc length *Area of circle}{circumference of circle}$

                       =$\frac{l *r}{2}$

                       =$\frac{8*15}{2}$

                       =60 cm²

                         

Answer 2

Answer:

The area (in cm2) of the upper surface of a sector of the pizza is $60cm^{2}$

Step-by-step explanation:

Given:

The diameter of a pizza is $30$ cm

Arc length is $8$ cm

We need to find the area (in cm2) of the upper surface of a sector of the pizza.

As we know that

The ratio of area of sector and area of circle is equal to the ratio of the arclength and circumference.

$A=\frac{l*r}{2}$

The radius will be $\frac{30}{2} =15$

We get as

$=\frac{8*15}{2} \\\\=60$