Arc ABC is inscribed with angle ACB with o be the centre of circle then if measure of angle ACB is equal to 34 degree then measure of Arc ABC is equal to?
Answers
Given : Arc ABC is inscribed with angle ACB with O be the centre of circle then angle ACB = 34°
To Find : m arc (ACB )
Solution:
∠AOB = 2 ∠ACB
∠ACB = 34°
=> ∠AOB = 2 ( 34°)
=> ∠AOB = 68°
m arc (ACB ) = 360° - ∠AOB
=> m arc (ACB ) = 360° -68°
=> m arc (ACB ) = 292°
m arc (ACB ) = 292°
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Answer:
see common solution
∠ACB is inscribed in arc ACB of a circle with centre O. If ∠ACB = 65° , find m(arc ACB).
(A) 65° (B) 130° (C) 295° (D) 230°
Step-by-step explanation:
m∠ACB = 1/2 m(arc AB) [Inscribed angle theorem]
∴ m(arc AB) = 2 m∠ACB
= 2 × 65
= 130°
m(arc ACB) = 360° – m(arc AB) [Measure of a circle is 360°]
= 360° – 130°
= 230°