Question

Help on 2 questions

1. Pie plates can be measured by the length of their radius. Determine the size Pie Plate needed for a pie with a circumference of about 159.72 cm

2. Pizza stone can be measured by the length of their diameter. Determine the size pizza stone needed for a pizza with a circumference of about 75.36 cm

Answer 1

1. To find this answe you use the formula for finding the circumference.

C= pi x d, where d is the diameter.

159.72 = 3.14d, then solve for d by dividing both sides by 3.14.

d=50.87

The radius is half the diameter, so 50.87/2.

The answer is approximately a 25 cm pie plate.

2. Use the same formula as above:
75.36 = 3.14d, and solve for d.
d= 24 cm
You will need a 24 cm pizza stone.

Answer 2

The size of the pie plate is 50.87cm and the second one, the size of the pizza stone needed is 24cm

Data;

• circumference = 159.72cm
• diameter = ?

Circumference of a Circle

To solve this problem, we have to use the circumference of the circle to find the diameter of this pie plate.

$C = 2\pi r$

• c = circumference
• r = radius

but we can relate radius and diameter by

$r = d/2\\d = 2r$

Let's substitute this into the formula

$c = 2\pi r\\c = 2\pi d/2\\c = \pi d$

Lets substitute the value and solve for the diameter

$c = \pi d\\159.72 = 3.14 * d\\d = \frac{159.72}{3.14} \\d = 50.87cm$

The size of the pie plate is 50.87cm

2)

c = 2πr

$c = 2\pi r\\c = \pi d$

Let's substitute the values into the equation and solve.

$c = \pi d\\75.36 = 3.14 * d\\d = \frac{75.36}{3.14} \\d = 24cm$

The size of the pizza stone needed is 24cm

learn more on circumference of a circle here;

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