If an arc subtends an angle of 60 degrees at the centre, then it's corresponding arc subtends an angle of................... at the centre.
Answers
Given : an arc subtends an angle of 60 degrees at the centre
To Find : corresponding arc subtends an angle of what degree at the center
Solution:
Minor arc and corresponding major arc forms a complete circle
Complete circle is 360°
angle subtended by arc and corresponding arc together is 360°
=> 60° + angle subtended by corresponding arc at center = 360°
=> angle subtended by corresponding arc at center = 360° - 60°
=> angle subtended by corresponding arc at center = 300°
Hence :
If an arc subtends an angle of 60 degrees at the centre, then it's corresponding arc subtends an angle of..300°. at the centre.
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