Question

The ratio of numericla value of plane angle for a circle to solid angle for a sphere is​

Answer 1

Answer:

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Answer 2

Ratio of a plane angle of a circle & solid angle of a sphere:

Explanation:

• An angle formed by two intersecting planes is measured by the angle between two intersecting straight lines that are in respective planes and perpendicular to the intersection of the planes is the plane angle of a  circle.
• This plane angle is given by

Φ = 2π rad,

where

θ is the plane angle of a circle.

• A solid angle is a measure of the amount of the field of view from some particular point so that a given object covers.

• The solid angle of a sphere is given by

Ω = 4π sr.

where sr is the unit of solid angle.

• The ratio of a numerical value of plane angle for a circle to solid angle for a sphere is​  $\displaystyle \frac{2\pi }{4\pi }$

The required ratio is  $\displaystyle \mathbf{\frac{1}{2}}$ .