Optics Question Solved: Image Location and Size of Robin in Convex Mirror

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The discussion focuses on solving an optics problem involving a convex mirror with a diameter of 42 cm and a robin located 2.1 m away. The correct focal length is determined to be -10.5 cm, as the radius of curvature for a convex mirror is negative. The image distance is calculated using the mirror formula 1/f = 1/do + 1/di, leading to an image distance of approximately 11.05 cm. The size of the robin's image can then be derived using the magnification formula hi/ho = -di/do.

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[SOLVED] Short optics question

Shiny lawn spheres placed on pedestals are convex mirrors. One such sphere has a diameter of 42 cm. A 13 cm robin sits in a tree 2.1 m from the sphere.
(a) Where is the image of the robin? in cm
b) How long is the robin's image? in cm
1/f=1/do+1/di
hi/ho=-di/do

Ok, I know that radius of a concave lens is 2f but when i use that principle i do not get the right answer...what i did is:
42/2=21=radius
21/2=10.5=focal length
1/10.5=1/210+1/x
x=11.0526 which was my answer for a which webassign says is wrong
once i get this answer part b is very easy as all i will have to do is x/13=-answer to part a/210
please help me figure out what i did wrong I am assuming that radius of a convex lens which is what is used in problem is not 2f but i have no clue what it is then and i tried googling it but could not find anything...thanks
 
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For a convex mirror, f (and R) are negative.
 
wow i got it thanks so much
 

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