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1.

Given a circle with a circumference of 10cm, which equation shows how the relationship between a circumference and its diameter can be used to find π

?
Question 1 options:

a. π=1/10d

b. π=d/10

c. π = 10d

d. π=10/d

2. The radius of a circle is 15. Using π

, which equation expresses the ratio of the circumference to the diameter of a circle?
Question 2 options:

a. C=15π/r

b. C/15=π

c. C=/r30π

d. C/30=π

#i. π = 10/d

#ii. C/30=π

Step-by-step explanation:

#a. We are given;

We are required to show how the relationship between the circumference  and the diameter can be used to find π.

we know that the circumference of a circle is given by;

Circumference = πd

But, circumference is 10 cm

Therefore;

10 cm = πd

Dividing both sides by d, then;

π = 10/d

#b. we are given;

We are given;

Radius of a circle = 15

We are supposed to express the ratio of circumference to the diameter;

We need to know that;

Diameter = 2 × radius

                = 2r

Circumference = πd or

                         = 2πr

Therefore, the ratio of circumference to the diameter will be;

C=2πr

d=2r

C/d = π

  But d =30

Thus; C/30 =π

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi

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step-by-step explanation: