Circle
Problem
What is the radius of the circle $x^2 + y^2 - 6x = 0$?
| A. 6 | C. 4 |
| B. 9 | D. 3 |
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Problem
Which of the following pizzas is a better buy: a large pizza with 16-inch diameter for \$15 or a medium pizza with an 8-inch diameter for \$7.50? What is the cost per square inch of the better pizza?
| A. medium pizza: \$0.07/in.2 | C. medium pizza: \$0.15/in.2 |
| B. large pizza: \$0.07/in.2 | D. large pizza: \$0.15/in.2 |
Situation
If a chord is selected at random on a fixed circle what is the probability that its length exceeds the radius of the circle?
- Assume that the distance of the chord from the center of the circle is uniformly distributed.
A. 0.5 C. 0.866 B. 0.667 D. 0.75 - Assume that the midpoint of the chord is evenly distributed over the circle.
A. 0.5 C. 0.866 B. 0.667 D. 0.75 - Assume that the end points of the chord are uniformly distributed over the circumference of the circle.
A. 0.5 C. 0.866 B. 0.667 D. 0.75
01 - Circle tangent to a given line and center at another given line
Problem 1
A circle is tangent to the line 2x - y + 1 = 0 at the point (2, 5) and the center is on the line x + y = 9. Find the equation of the circle.
The Circle
Definition of circle
The locus of point that moves such that its distance from a fixed point called the center is constant. The constant distance is called the radius, r of the circle.
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09 Dimensions of smaller equilateral triangle inside the circle
Problem
From the figure shown, ABC and DEF are equilateral triangles. Point E is the midpoint of AC and points D and F are on the circle circumscribing ABC. If AB is 12 cm, find DE.
