Area and Circumference
This is the formula for the circumference of a circle.
2πr
Describe a central angle.
Vertex at the center of the circle
What is the arc length formula?
L=(X x C)/360
The standard form of the equation of a circle with center (h, k) and radius r is this.
(x - h)² + (y - k)² = r²
This is the name of an angle formed by two chords that meet at a point ON the circle. (Vertex is on the circle)
Inscribed angle
The formula for the area of a circle is πr². If the diameter is 6 cm, what is the area?
28.27 cm²
The measure of a central angle is 120°. How many degrees is the arc that is intercepted by this angle?
120°
Find the arc length of a circle with a radius of 10 cm and a central angle of 60°.
10π/3 cm
If the equation of a circle is (x - 3)² + (y + 2)² = 16, what is the center of the circle?
(3, -2)
The measure of an inscribed angle is half the measure of the arc it intercepts. What is the measure of an inscribed angle that intercepts a 160° arc?
80°
If a circle has an area of 50π square units, what is its radius?
5 units
If the central angle of a circle is 90°, the arc measure is this.
90°
The radius of a circle is 5 meters, and the central angle is 180°. What is the length of the arc? (Round to the nearest hundredth)
15.71 meters
In the equation of a circle (x - 5)² + (y - 4)² = 25, what is the radius of the circle?
5 units
What are opposite angles in an inscribed quadrilateral?
supplementary
The diameter of a circle is 12 inches. What is its circumference?
24π inches
The central angle of a circle measures 150°. What is the measure of the remaining central angle on the opposite side of the circle?
210°
A circle has a radius of 8 cm and a central angle of 45°. What is the arc length in terms of pi?
4π cm
The equation of a circle is x² + y² = 36. What is the radius of the circle?
6 units
If two inscribed angles intercept the same arc, they are this to each other.
Congruent
The circumference of a circle is 31.4 cm. What is the radius of the circle?
5 cm
If the intercepted arc AB is 120 degrees, what is the measure of the corresponding central angle?
120 degrees
If the central angle of a circle is 120° and the radius is 7 cm, find the arc length in terms of pi.
(7π/3) cm
A circle has a center point of (3,-2) and a radius of r=4. What is the equation of the circle?
(x-3)2+(y+2)2=16
In a circle, if an inscribed angle intercepts a diameter, its measure is always this.
90°