Which of the following expressions correctly shows the relationship between the circumference and the area of a circle?(1 point) Responses C=2πr upper C equals 2 pi r Cd=π Start Fraction upper C over d End Fraction equals pi A=πr2 upper A equals pi r squared C2=4πA
The expression that correctly shows the relationship between the circumference and the area of a circle is:
C=2πr
This equation represents the circumference (C) of a circle in terms of its radius (r) and is the correct relationship between these two properties of a circle.
If C=12π , what is the area of the circle? (1 point) Responses 36π 36 pi 144π 144 pi 24π 24 pi 12π
To find the area of the circle when the circumference is given as C = 12π, we can use the formula for the circumference of a circle:
C = 2πr
Given that C = 12π, we can solve for the radius (r) by rearranging the formula:
12π = 2πr
Divide both sides by 2π:
r = 12π / 2π
r = 6
Now that we have the radius of the circle as 6, we can calculate the area of the circle using the formula:
A = πr^2
A = π(6)^2
A = 36π
So, the area of the circle is 36π.
Therefore, the correct response is: 36π
Which chart is correctly developed with the circumference and the area of a circle with a radius of 5 cm?(1 point) Responses Radius Circumference Area 5 cm 15.7 cm 19.63 cm2 Radius Circumference Area 5 cm 15.7 cm 19.63 cm squared Radius Circumference Area 5 cm 78.5 cm 31.4 cm2 Radius Circumference Area 5 cm 78.5 cm 31.4 cm squared Radius Circumference Area 5 cm 62.8 cm 314 cm2 Radius Circumference Area 5 cm 62.8 cm 314 cm squared Radius Circumference Area 5 cm 31.4 cm 78.5 cm2
To create a chart correctly showing the circumference and area of a circle with a radius of 5 cm:
1. Calculate the circumference:
Circumference (C) = 2πr
Circumference = 2π(5) = 10π ≈ 31.4 cm
2. Calculate the area:
Area (A) = πr^2
Area = π(5)^2 = 25π ≈ 78.5 cm^2
Correct chart:
Radius | Circumference | Area
5 cm | 31.4 cm | 78.5 cm^2
Therefore, the correct response is:
Radius Circumference Area
5 cm 31.4 cm 78.5 cm^2
which formula is used to find the area of a circle when given the radius?(1 point) Responses A=2r upper A equals 2 r A=r upper A equals r A=d2 upper A equals d squared A=r2
The correct formula used to find the area of a circle when given the radius is:
A = πr^2
So the correct response is: A = r^2
Which formula is used to find the circumference of a circle when the radius is given?(1 point) Responses C=r upper C equals r C=2r upper C equals 2 r C=2d upper C equals 2 d C=r2
The correct formula used to find the circumference of a circle when the radius is given is:
C = 2πr
So the correct response is: C=2πr