A tire has a radius of 7.5 inches. How many inches will the tire travel after one rotation?
1 answer:
Answer:
80
Step-by-step explanation:
You need to calculate the circumference of this wheel to determine how far it travels with each revolution.
First, you need to know the diameter of a circle, which is the length of a straight line drawn through the circle.
You need to calculate the circumference of this wheel to determine how far it travels with each revolution.
First, you need to know the diameter of a circle, which is the length of a straight line drawn through the circle.
The magic number here is pi, which is roughly 3.14159265. The digits to the right of the decimal point continue infinitely.
Dividing a circle’s circumference by pi will give you a circle’s diameter.
Multiplying a circle’s diameter by pi will give you a circle’s circumference.
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<u>Question 1</u>
If we let , then
.
Also, as bisects
, this means
.
Thus, by the intersecting chords theorem,
However, as distance must be positive, we only consider the positive case, meaning FE=9
<u>Question 2</u>
If we let CE=x, then because AB bisects CD, CE=ED=x.
We also know that since FB=17, the radius of the circle is 17. So, this means that the diameter is 34, and as AE=2, thus means EB=32.
By the intersecting chords theorem,
However, as distance must be positive, we only consider the positive case, meaning CE=8