The cheese pizza has a diameter of 10 in.
Find the circumference. Find the length of the crust of one
piece of pizza if the central angle is 72
Circumference = 2πr or 10π cm
length/10π = 72/360
solve for "length"
To find the circumference of a circle, we use the formula: C = π * d, where C is the circumference and d is the diameter.
Given that the diameter of the cheese pizza is 10 inches, we can substitute this value into the formula:
C = π * 10
To calculate the circumference, we can use an approximation for π, such as 3.14:
C ≈ 3.14 * 10
C ≈ 31.4 inches
Therefore, the circumference of the cheese pizza is approximately 31.4 inches.
To find the length of the crust of one piece of pizza, we can use the formula: L = (C * θ) / 360, where L is the length of the crust, C is the circumference, and θ is the central angle.
Given that the central angle is 72°, we can substitute the values into the formula:
L = (31.4 * 72) / 360
L = 6.28 inches
Therefore, the length of the crust of one piece of pizza, considering a central angle of 72°, is approximately 6.28 inches.
To find the circumference of a circle, you need to use the formula:
C = π * d
where C is the circumference and d is the diameter of the circle. In this case, the diameter is given as 10 inches.
Therefore, the circumference of the cheese pizza is:
C = π * 10
C ≈ 3.14 * 10
C ≈ 31.4 inches
Now, let's find the length of the crust of one piece of pizza with a central angle of 72 degrees. To do that, we need to find the fraction of the circumference represented by the central angle.
To find this fraction, you can use the formula:
Fraction of circumference = Central angle (in degrees) / 360 degrees
In this case, we have a central angle of 72 degrees.
Fraction of circumference = 72 degrees / 360 degrees
Fraction of circumference = 1/5
Now, we can find the length of the crust of one piece of pizza by multiplying the fraction of circumference by the total circumference:
Length of crust = Fraction of circumference * Circumference
Length of crust = (1/5) * 31.4 inches
Length of crust ≈ 6.28 inches
Therefore, the length of the crust of one piece of pizza with a central angle of 72 degrees is approximately 6.28 inches.