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6. The bright star Arcturus in the constellation Boötes has a surface temperature about 0.74 times...

6. The bright star Arcturus in the constellation Boötes has a surface temperature about 0.74 times that of the Sun. Its luminosity is about 170 times that of the Sun.  

(a) What is Arcturus’ radius compared to the radius of the Sun (in units of solar radii, ?⊙)?

(b) What type of star is Arcturus (a dwarf, a giant, or a supergiant)? Explain your reasoning.

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Answer #1

a)Arcturus's radius is 7.53R times larger than sun's radius.

B) As its luminosity falls in 170 in H R diagram and radius size just few times approximately 8 times more than sun, and temperature approximately 4275.72K ,so it is a giant class type star .

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