Skills · Geometry · Circles
Arcs and central angles
Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.
Problem types
- a central angle and its arc (equal): m∠AOB = 70°, m⌒AB = ?
- a major arc (360° less its minor arc): m⌒AB = 70°, m⌒ACB = ?
- arc addition (arcs side by side add): m⌒AB = 50°, m⌒BC = 80°, m⌒ABC = ?
- central angles around the center (they add to 360°): 100°, 140° and ? around O
Sample Sheet · Level 1
O is the center. Find the measure marked ?.
O is the center. Find the measure marked ?.
O is the center. Find the measure marked ?.
O is the center. Find the measure marked ?.
O is the center. Find the measure marked ?.
O is the center. Find the measure marked ?.
O is the center. Find m⌒ABC.
O is the center. m⌒ABC = 161°. Find the measure marked ?.
Answer key
- 109°
- 99°
- 246°
- 108°
- 75°
- 55°
- 106°
- 49°
Sample Sheet · Level 3
O is the center. Find m∠AOB.
O is the center. m⌒ABC = (2x + 40)°. Find m⌒ABC.
O is the center. Find m∠COD.
O is the center. Find m⌒AB.
O is the center. Find m∠AOB.
O is the center. Find m⌒ACB.
O is the center. Find m∠AOB.
O is the center. m⌒ABC = (2x + 40)°. Find m⌒BC.
Answer key
- 112°
- 80°
- 107°
- 135°
- 121°
- 297°
- 157°
- 56°
Make your own
Pick the count, the level and the version, and print it with work space and the key on its own page. The same skill also makes an I Do, We Do, You Do lesson, a Mosaic, a Decoder and more.