meerut is 64 km from delhi. find the angle in degrees subtended at the centre of the earth by the arc joining these two towns. the Earth is regarded as a sphere of 6336 km radius
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0.579 degrees angle is the answer.
Given:
- r = 6336, perimeter of the arc = 64 (given)
To find:
- The angle in degrees subtended on the center of the earth =?
Step-by-step explanation:
- We know that θ/360× 2πr = the perimeter of the arc.
- θ/360 ×2πr = 64
- θ/360 ×2(3.14)(6336) = 64,
- θ = 64 ×360/2(3.14)(6336).
- ∴ θ = 0.579 degrees = 34.74 minutes.
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