Question

Area of a Circle

Answer 1

Answer:

i) Diameter = 38 meters

ii) Radius = 19 meters

iii) Area = 361 m²

Step-by-step explanation:

i) According to the formula given in the question, the formula for the circumference, C = πD

C = 120 meters

Diameter, D = 120/π

D = 38 meters

ii) The value of the radius

Radius, r = (Diameter, D)/2

r = 38/2

r = 19 meters

iii) What is the approximate area

From the question, the expression for the area is A = r²

Area, A = 19²

A = 361 meters

Answer 2

Answer:

The diameter of the pond is 38 m.

The radius of the pond is 19 m.

The area of the pond is 361 m^2.

Step-by-step explanation:

We know that the circumference C of a circle is equal to

$C=\pi D$

In this case, C is equal to 120 m.

The diameter is then:

$D=C/\pi=120/3.14=38.21\approx 38$

Rounded to the nearest whole number, the diameter is D=38 metres.

The radius is equal to half the diameter, so the radius of this pond is R=19 metres.

$R=D/2=38/2=19$

The area can be calculated from the radius as:

$A=r^2=19^2=361$

The area is 361 m^2