Using a compass, Jane draws a circle on her paper with a radius of 2.5 inches. What is the area of the circle?
The formula for the area of a circle is A = πr^2, where r is the radius of the circle.
Given that the radius of the circle is 2.5 inches, we can plug this value into the formula:
A = π(2.5)^2
A = π(6.25)
A ≈ 19.63 square inches
Therefore, the area of the circle is approximately 19.63 square inches.
Which equation shows how the relationship between the circumference and the diameter of a circle is equivalent to π? Responses A π = dC π = d/C π = C/d C π = 1/dC
The relationship between the circumference (C) and the diameter (d) of a circle is that the circumference is equal to π times the diameter. Therefore, the correct equation is:
π = d/C
So, the correct answer is B) π = d/C.
How many feet of monkey grass would you need to go around a circular flower bed if you know that the area is 36π Ft (power of 2)? Responses A 6π feet6π feet B 12π feet12π feet C 18πfeet18πfeet D 36π feet36π feet E 144π feet
The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle.
Given that the area of the flower bed is 36π square feet, we can find the radius by using the formula for the area of a circle, which is A = πr^2.
36π = πr^2
r^2 = 36
r = 6
Now that we have the radius of the circle, we can find the circumference:
C = 2π(6)
C = 12π
Therefore, you would need 12π feet of monkey grass to go around the circular flower bed.
The correct answer is B) 12π feet.
How much pizza sauce is needed to cover a 16" pizza? (Note: 16" is the diameter of the pizza.) Responses A 50.24 in 2 B 200.96 in 2 C 803.84 in 2 D 3215.36 in 2
In order to determine the quantity of pizza sauce needed to cover a 16" pizza, we need to first calculate the area of the pizza.
The formula for the area of a circle is A = πr^2, where r is the radius. The radius of the pizza is half of the diameter, so it is 16/2 = 8 inches.
Now, we can plug in the radius into the formula:
A = π(8)^2
A = π(64)
A = 64π
The area of the 16" pizza is 64π square inches. This is approximately 200.96 square inches.
Therefore, the amount of pizza sauce needed to cover a 16" pizza is approximately 200.96 square inches.
The correct answer is B) 200.96 in^2.
Given a circle with a radius of 3, which equation expresses π as the ratio of the circumference of a circle to its diameter? Responses: C/3 = π C/6 = π 3/C = π 6/C = π
The ratio of the circumference of a circle to its diameter is equal to π.
The formula for the circumference of a circle is C = 2πr, where r is the radius. So, in this case, C = 2π(3) = 6π.
The formula for the diameter of a circle is D = 2r, so D = 2(3) = 6.
Therefore, the ratio of the circumference to the diameter in this case is 6π/6 which simplifies to π.
Thus, the correct answer is 6/C = π.