Respuesta :
A) Area of circle is 452.16 square inches and circumference of circle is 75.36 inches
B) Area of circle is 490.625 square centimeters and circumference of circle is 78.5 cm
Solution:
The area of circle is given as:
[tex]area = \pi r^2[/tex]
Where "r" is the radius of circle
The circumference of circle is given as:
[tex]c = 2 \pi r[/tex]
Where "r" is the radius of circle
a) radius of 12 inches
r = 12 inches
Substitute r = 12 and [tex]\pi = 3.14[/tex] in area formula
[tex]area = 3.14 \times (12)^2\\\\area = 3.14 \times 144 = 452.16[/tex]
Thus area of circle is 452.16 square inches
Substitute r = 12 and [tex]\pi = 3.14[/tex] in circumference formula
[tex]c = 2 \times 3.14 \times 12 = 75.36[/tex]
Thus circumference of circle is 75.36 inches
b) diameter of 25 centimeters
diameter = 25 cm
We know that,
[tex]radius = \frac{diameter}{2}[/tex]
[tex]radius = \frac{25}{2} = 12.5[/tex]
Thus radius is 12.5 cm
Substitute r = 12.5 and [tex]\pi = 3.14[/tex] in area formula
[tex]area = 3.14 \times (12.5)^2\\\\area = 3.14 \times 156.25 = 490.625[/tex]
Thus area of circle is 490.625 square centimeters
Substitute r = 12.5 and [tex]\pi = 3.14[/tex] in circumference formula
[tex]c = 2 \times 3.14 \times 12.5 = 78.5[/tex]
Thus circumference of circle is 78.5 cm
