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The sun's angular diameter is measured t...

The sun's angular diameter is measured to be 1920''. The distance of the sun from the earth is `1.496xx10^(11)m.` What is the diameter of the sun?

Text Solution

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Given, angular diameter of the sun,
`theta=1920.. =(1920)/(60xx60)xx(pi)/(180)=9.3xx10^(-3)"rad"`
Distance of the sun from the earth,
`d=1.496xx10^(11)m`
Linear diameter of the sun is
`D= thetaxxd=9.3xx10^(-3)xx1.496xx10^(11)`
`approx 1.39xx10^(9)m`.
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