Respuesta :
Answer:
Circumference of circle =2πr
21π=2πr
r=21/2cm
Area of circle =πr²=π(21/2)²=110.25πcm²
Step-by-step explanation:
The area of the circle in square centimeters is 110.25π cm².
What is the circumference of a circle?
It is the length of the curve enclosing the circle. It is given by:
circumference = 2πr
What is the area of the circle?
The area of the circle is the area of the region enclosed by the circle.
It is given by:
Area = πr²
The circumference of the circle is given by:
Circumference = 21πcm
⇒ 2πr = 21πcm
⇒ r = 10.5cm
Now we can find the area of the circle as follows:
πr² = π × 10.5 × 10.5 cm²
= 110.25π cm²
Thus, we have found the area of the circle in square centimeters to be 110.25π cm².
Learn more about circumference here-https://brainly.com/question/21566730
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