Question

Find the radius and the diameter to the nearest hundredth when C= r yd. Use 3.14for I.

Answer 1

• Radius = 0.50 yard.

,

• Diameter = 1.00 yard.

STEP - BY - STEP EXPLANATION

What to find?

• Radius

,

• Diameter

Given:

• C=π

,

• π=3.14

To solve the given problem, we will follow the steps below:

Step 1

Recall the formula of the circumference C of a circle.

That is;

C = 2πr

Where r is the radius and C is the circumference.

Step 2

Equate C=π to C=2πr

2πr = π

Step 3

Divide both-side of the equation by 2π.

`\frac{\cancel{2\pi}r}{\cancel{2\pi}}=\frac{\cancel{\pi}}{2\cancel{\pi}}`
`r=(1)/(2)=0.5`

Hence, the radius is 0.50 yard.

Step 4

Determine the diameter by substituting the value of r into d=2r.

That is;

d = 2(0.5)

d = 1.00 yard.

Therefore, the diameter is 1.00 yard.