The area of the circle is 50.24 square inches.
Step-by-step explanation:
Circumference of a circle = 2πr
where,
- r is the radius of the circle.
- π has the default value of 3.14
Given that the circumference is 25.12 inches.
Therefore, circumference of a circle = 25.12
⇒ 2πr = 25.12
⇒ 2(3.14)[tex]\times[/tex]r = 25.12
⇒ 6.28[tex]\times[/tex]r = 25.12
⇒ r = 25.12 / 6.28
⇒ r = 4
The radius of the circle is 4.
To find the area of the circle :
Area of the circle = πr²
⇒ (3.14)[tex]\times[/tex](4)²
⇒ 3.14[tex]\times[/tex]16
⇒ 50.24 sq. inches.
The area of the circle is 50.24 square inches.
