McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
1. Circles and Circumference
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Exercise 38 Page 720

What is the formula for finding the circumference of a circle?

Diameter: 11.14x cm
Radius: 5.57x cm

Practice makes perfect

Let's find first the radius and then the diameter.

Radius

The circumference C of a circle with radius r is calculated using the formula below. C=2Ï€ rFrom the exercise, we know that the circumference of the circle is 35xcm. By substituting 35x for C in the formula, we can solve for r.

C=2Ï€ r
35x=2Ï€ r
â–¼
Simplify
35x=2Ï€ (r)
35x/2Ï€=r
r = 35x/2Ï€
r= 5.570423... x
r≈ 5.57x

The radius of the circle is approximately 5.57xcm.

Diameter

Now, to find the diameter, we can multiply the radius by 2. d=r * 2 Let's simplify it.

d=r * 2

r ≈ 5.57x

d≈ 5.57x * 2
d≈ 11.14x

The diameter of the circle is approximately 11.14x cm.