In a circle, the measure of an inscribed angle is one-half the measure of its intercepted arc

Question

Question

In a circle, the measure of an inscribed angle is one-half the measure of its intercepted arc.

Is this true or false?

math

Answer 1

Answer #1

The measure of an interior angle is one half of the measure of the intercepted arc.

answered by: 1st grader

Answer 2

Similar Homework Help Questions

The measure of an angle formed by two secants intersecting inside the circle equals a

The measure of an angle formed by two secants intersecting inside the circle equalsa.½ the sum of the intercepted arcsb.½ the difference of the intercepted arcsc.½ the measure of the intercepted arcI need help please!
The measure of an angle formed by two lines that intersect inside a circle is half...

The measure of an angle formed by two lines that intersect inside a circle is half the sum of the measures of the intercepted arcs. m_1 = }(x + y) The measure of an angle formed by two lines that intersect outside a circle is half the difference of the measures of the intercepted ares. m21 = 2(x - y) For a given point and circle, the product of the lengths of the two segments from the point to the...
Calculate the length of the arc on a circle radius 5 inches, intercepted by a central...

Calculate the length of the arc on a circle radius 5 inches, intercepted by a central angle of 120 degrees. Round answer to two decimal places Check Answer Solve the crossword puzzle. Across

5. In the picture above, line AC is tangent to the circle at B, <ABE intercepts...

5. In the picture above, line AC is tangent to the circle at B, <ABE intercepts minor arc BE (in red) while <CBE intercepts major arc BDE (in blue). Use this picture to prove that the measure of the angle between a tangent and a chord is always half the measure of the intercepted arc. For your proof, use two cases, acute angle and obtuse angle. Hint: Use the diameter drawn, and the inscribed angle theorem, to help you
DEFG is a regular pentagon inscribed in a circle. The circumfrence of the circle is 100...

DEFG is a regular pentagon inscribed in a circle. The circumfrence of the circle is 100 pi units. a.find the measures of arc DE, arc EF, and arc FG b.find m angle DFG in degrees DEFGH is a regular pentagon inscribed in a circle. The circumference of the circle is 100π units. 4. Find the measures of arc DE, arc EF, and arc FG. Find mZDHG in degrees without googling the interior angle of a regular pentagon a. b.
central angles and intercepted arcs

with the central angle 30 degrees, what is the measure of the intercepted arc in terms of pie in a circle with a radius of 10 cm

The radius of a circle is 5 centimeters. What is the angle measure of an arc...

The radius of a circle is 5 centimeters. What is the angle measure of an arc 41 centimeters long? r=5 cm (=47 cm 165 degrees 288 degrees 72.5 degrees 144 degrees
1.) What angle in radians is subtended by an arc 1.30 m in length on the...

1.) What angle in radians is subtended by an arc 1.30 m in length on the circumference of a circle of radius 2.50 m ? What is this angle in degrees? 2.) An arc 12.0 cm in length on the circumference of a circle subtends an angle of 114 ? . What is the radius of the circle? 3.) The angle between two radii of a circle with radius 1.90 m is 0.650 rad . What length of arc is...
The measure of one angle is 15 degrees more than half the measure of its complement

The measure of one angle is 15 degrees more than half the measure of its complement. Find the measure of the two angles.

Part B What angle is subtended by an arc 1.60 m in length on the circumference...

Part B What angle is subtended by an arc 1.60 m in length on the circumference of a circle of radius 2.70 m? Express your answer in degrees. Pa] ΑΣΦ ? Submit Request Answer Part C An arc 13.0 cm in length on the circumference of a circle subtends an angle of 138°. What is the radius of the circle? Express your answer in centimeters. να ΑΣφ ? CI Submit Request Answer Part D The angle between two radii of...