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

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The discussion revolves around solving an optics problem involving a convex mirror shaped like a shiny lawn sphere with a diameter of 42 cm. The user initially misapplied the formula for focal length, incorrectly assuming it was positive, which led to an incorrect image distance calculation. After clarification, it was noted that for a convex mirror, both the focal length and radius are negative. The correct application of the mirror formula provided the right image location and size for the robin. The user successfully resolved the confusion and expressed gratitude for the assistance received.
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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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