Respuesta :
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
[tex]C=\pi D[/tex]
In this case, C is equal to 120 m.
The diameter is then:
[tex]D=C/\pi=120/3.14=38.21\approx 38[/tex]
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.
[tex]R=D/2=38/2=19[/tex]
The area can be calculated from the radius as:
[tex]A=r^2=19^2=361[/tex]
The area is 361 m^2
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
