christian7676 christian7676
  • 05-04-2022
  • Mathematics
contestada

The circumference of a circle is 13 pi cm. What is the area, in square centimeters?
Express your answer in terms of Pi

Respuesta :

Leora03
Leora03 Leora03
  • 05-04-2022

Answer:

42.25π cm²

Step-by-step explanation:

To find the area of the circle, first find its radius.

Formulas needed

  • Circumference of circle= πD= 2πr
  • Area of circle= πr²

Given: circumference= 13π cm

2πr= 13π

Divide both sides by 2π:

[tex]r = \frac{13}{2} [/tex]

r= 6.5 cm

Now, we can find the area by substituting r= 6.5 into the area of circle formula.

Area of circle

= πr²

= π(6.5)²

= 42.25π cm²

Answer Link

Otras preguntas

What are the origins of prevailing ideas about natural, ideal, and deviant bodies in sports and in society?
whats Henry Hudson interesting facts?
How is carbon dioxide obtained?
Heating zinc sulfide in the air causes the formation of
true or false? Three common voltage sources are batteries, solar cells, and generators.
A pack of 9 toilet rolls costs £4.23 A pack of 4 toilet rolls costs £1.96 Which pack gives the better value for money? You must show all your working.
In the library there are 200 books. 58 of them are non-fiction. What percentage of the books are non-fiction?
what are the landforms of vermont
What long-term effect do you think EU membership will have on nationalism in Europe? Explain.
Heating zinc sulfide in the air causes the formation of