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  • 21-06-2022
  • Mathematics
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What is the area of a circle with a circumference of 50pi cm? Leave your answers in terms of pi.

Respuesta :

jimrgrant1 jimrgrant1
  • 21-06-2022

Answer:

A = 625π cm²

Step-by-step explanation:

the area (A) of a circle is calculated as

A = πr² ( r is the radius )

the circumference (C) of a circle is calculated as

C = 2πr

given C = 50π , then

2πr = 50π ( divide both sides by 2π )

r = 25

then

A = π × 25² = 625π cm²

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