donnaearle donnaearle
  • 25-03-2020
  • Mathematics
contestada

A circle has a sector with area of 20pi and a central angle of 2/5 pi radians what is the area of the circle

Respuesta :

altavistard
altavistard altavistard
  • 25-03-2020

Answer:

100π  =  Area of the circle

Step-by-step explanation:

Let the unknown area of the circle be A = πr².  To find A, we have to find the circle radius r first.

The known sector area (A = 20π) is a fraction of the total circle area:

 (2/5)π

------------ A = 20π           or (after reducing the fraction)   A/5 = 20π

    2π

Multiplying both sides by 5 yields A = 100π  =  Area of the circle

Answer Link

Otras preguntas

The ________ of an adult male is 750 newtons.
A pay period is defined as A. weekly. B. biweekly. C. monthly. D. All of the above
A rectangular tank that is 3 meters long, 4 meters wide and 6 meters deep is filled with a rubbing alcohol that has density 786 kilograms per cubic meter. assum
Cara menghitung luas alas segitiga
What were three aspects of postwar literature?
Based upon the above context, the word paragon best means
If an evacuation were ordered because of a disaster, notice would always be given at least one day in advance. a. true b. false
Why did the Framers of the Constitution create a mechanism for amending the Constitution, but then make it very difficult to actually make any cha
What number could you put into the blank to make the value of this expression 6.93 ? 6.93⋅4.21 + 3.56 divided by ____ + 4.21
Which of these was one of the few successes of the united states government under the articles of confederation??