1 .if the central angle measures 65°, then the measure of its intercepted arc is.______
2. if the intercepted arc measures 118° then tha measure of the central angle is.______
3. if the central angle is a straight angle, then the measure of its intercepted arc is______
4. if the intercepted arc is a semiracle, then the measure of its central angle is.______
5. if the central angle forms right angle then the measure of its intercepted arc is.______
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1. If the central angle measures 65°, then the measure of its intercepted arc is also 65°.
Explanation: This means that if you draw a line from the center of the circle to the endpoints of the arc, the angle formed at the center will be 65°, and the arc itself will also have a length of 65°.
2. If the intercepted arc measures 118°, then the measure of the central angle is also 118°.
Explanation: This means that if you draw a line from the center of the circle to the endpoints of the arc, the angle formed at the center will be 118°, and the arc itself will also have a length of 118°.
3. If the central angle is a straight angle, then the measure of its intercepted arc is 180°.
Explanation: A straight angle is like a straight line, and it measures 180°. So, if you draw a line from the center of the circle to the endpoints of the arc, the angle formed at the center will be 180°, and the arc itself will also have a length of 180°.
4. If the intercepted arc is a semicircle, then the measure of its central angle is 180°.
Explanation: A semicircle is half of a circle, and its intercepted arc spans half of the circumference. So, if you draw a line from the center of the circle to the endpoints of the arc, the angle formed at the center will be 180°, and the arc itself will also have a length of 180°.
5. If the central angle forms a right angle, then the measure of its intercepted arc is 90°.
Explanation: A right angle is a 90-degree angle. So, if you draw a line from the center of the circle to the endpoints of the arc, the angle formed at the center will be 90°, and the arc itself will also have a length of 90°.
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ADDITIONAL INFORMATION:
1. Central angle measures 65°:
2. Intercepted arc measures 118°:
3. Central angle is a straight angle (180°):
4. Intercepted arc is a semicircle (180°):
5. Central angle forms a right angle (90°):