the angular diameter for a star is measured to be 1920''. the distance of the star from the earth is 1.5 x 10¹¹m. the diameter of the star is (in km)
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Angular diameter = 1900''
Coveting it into the Radians.
1900'' = 1900/60' = 1900/3600° = 19/36° × π/180
= 0.0092 rad.
∵ angular diameter = Diameter of the star/distance from the earth.
∴ 0.0092 = Diameter of the star/1.5 x 10¹¹
⇒ Diameter of the star = 0.0092 × 1.5 x 10¹¹
= 1.38 × 10⁹ m.
Hence, the diameter of the Star is 1.38 × 10⁹ m.
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Answer:
Angular diameter = 1900''
Coveting it into the Radians.
1900'' = 1900/60' = 1900/3600° = 19/36° × π/180
= 0.0092 rad.
∵ angular diameter = Diameter of the star/distance from the earth.
∴ 0.0092 = Diameter of the star/1.5 x 10¹¹
⇒ Diameter of the star = 0.0092 × 1.5 x 10¹¹
= 1.38 × 10⁹ m.
Explanation:
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