What is the difference between a major arc and a minor arc?

A major arc measures more than 180 degrees, while a minor arc measures less than 180 degrees.

How do you calculate the length of an arc?

The length L of an arc can be calculated using the formula: $$L = \frac{\theta}{360} \times 2\text{π}r$$ , where θ is the central angle in degrees.

What is the relationship between the angles formed by intersecting chords in a circle?

The measure of the angle formed by two intersecting chords is equal to half the sum of the measures of the arcs intercepted by the angle.

What is the measure of an angle formed by a tangent and a chord?

The measure of the angle formed by a tangent and a chord through the point of contact is equal to half the measure of the intercepted arc.

What is the equation of a circle centered at (4, -2) with a radius of 3?

The equation of the circle is: $$(x-4)^2 + (y+2)^2 = 9$$ .

What is the measure of angle UWT if it is given that it is 150 degrees?

The measure of angle UWT is: $$150\text{°}$$ .

How do you find the measure of an angle in a circle when given the measures of the arcs?

To find the measure of an angle, use the relationship: Angle = 1/2 (measure of intercepted arc 1 + measure of intercepted arc 2).

What is the significance of the center of a circle?

The center of a circle is the point that is equidistant from all points on the circle and is used to define the circle's radius.

HGEO Ch. 10 Circles Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the standard equation of a circle?

Back

2.

FLASHCARD QUESTION

Front

What is a minor arc in a circle?

Back

A minor arc is a portion of a circle that measures less than 180 degrees.

3.

FLASHCARD QUESTION

Front

How do you find the measure of an arc in a circle?

Back

The measure of an arc can be found using the central angle that subtends the arc. The measure of the arc is equal to the measure of the central angle.

4.

FLASHCARD QUESTION

Front

What is the relationship between the diameter and radius of a circle?

Back

5.

FLASHCARD QUESTION

Front

What is the measure of a semicircle?

Back

A semicircle measures exactly 180 degrees.

6.

FLASHCARD QUESTION

Front

What is the formula for the circumference of a circle?

Back

7.

FLASHCARD QUESTION

Front

What is the area of a circle?

Back

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