Find the area and circumference of the following circle. (Round answer to the nearest hundredth.) r = 4.5 cm

Respuesta :

A = 63.6   C = 28.3

This is because
A = π x 4.5^2 = 63.6
C = 2 x π x 4.5 = 28.3

Answer:

Given: radius of the circle(r) = 4.5 cm

Area of the circle(A) is given by:

[tex]A = \pi r^2[/tex]       ......[1]

where, r is the radius of the circle.

Substitute the given values in [1]  and [tex]\pi = 3.14[/tex] we have;

[tex]A = 3.14 \cdot (4.5)^2 = 3.14 \cdot 20.25= 63.585 cm^2[/tex]

⇒Area of the circle to the nearest hundredth is, [tex]63.59 cm^2[/tex]

Circumference(C) of the circle is given by:

[tex]C= 2 \pi r[/tex]

Substitute the given values we have;

[tex]C = 2 \cdot 3.14 \cdot 4.5[/tex]

Simplify:

C = 28.26 cm

⇒Circumference of the circle to the nearest hundredth is, 28.26 cm