Consider a circle with center O and radius 20 m. Is P such that OP = 8 m in the interior of the circle, in the exterior of the circle, or on the circle?
Hint
You'll need to compare the distance between P and O with the radius of the circle.
Answer
Interior.
Example 2
Consider a circle with center O and radius 20 m. Is Q such that OQ = 30 cm in the interior of the circle, in the exterior of the circle, or on the circle?
Hint
The units are there for a reason.
Answer
Interior.
Example 3
Consider a circle with center O and radius 20 m. Is S such that OS = 20 m in the interior of the circle, in the exterior of the circle, or on the circle?
Hint
What is the distance between O and S? What is the distance of the radius?
Answer
On.
Example 4
Consider a circle with center O and radius 20 m. Is O in the interior of the circle, in the exterior of the circle, or on the circle?
Hint
Point O is pretty important, isn't it?
Answer
Interior.
Example 5
Consider a circle with center O and radius 20 m. Is T such that OT = 100 m in the interior of the circle, in the exterior of the circle, or on the circle?
Hint
Is the radius larger or smaller than the distance between O and T?
Answer
Exterior.
Example 6
Consider a circle with center O and radius 20 m. Is U such that OU > OS in the interior of the circle, in the exterior of the circle, or on the circle?
Hint
Remember, OS was a distance of 20 m.
Answer
Exterior.
Example 7
Consider a circle with center O and radius 20 m. Is V such that OS < OV < OU in the interior of the circle, in the exterior of the circle, or on the circle?
Hint
Remember, OS was a distance of 20 m and OU > OS.
Answer
Exterior.
Example 8
In the figure below, points A, B, C, and D are on ⊙O. If m∠BOC = 50°, m∠COD = 140°, and m∠DOA = 65°, what is m∠AOB?
Hint
Remember that all central angles in a circle add up to 360°.
Answer
m∠AOB = 105°
Example 9
In the figure below, suppose now that m∠BOC = 67° instead of 50°. How does the measure of m∠AOB change?
Hint
Remember that all central angles in a circle add up to 360°.
