Find the area!

Geometry Level 2

OC=5, OD=3, AB=AC, ABO=ACO, ODC=90 degree. Find the coloured area.


The answer is 24.

Yeasir Hridoy by Yeasir Hridoy , 24, Bangladesh

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2 solutions

Ramesh Goenka
Jun 20, 2014

Since ABO=ACO we can deduce that points C and B are symmetric about the line AO . Area of the figure will be 2(ar(AOC)) = 3*8

1 Helpful 0 Interesting 0 Brilliant 0 Confused

you must elaborate how u got ar(AOC)

Sajal Preet Singh Sethi - 6 years, 8 months ago

Please specify that the three letter combinations used refer to angles. Thank you.

Marta Reece - 3 years ago

OC=5 u is the radius & OD= 3 u helps us to compute DC=4 u using Pythagoras theorem. OA= radius= 5 u OD=4 u thus ar(AOD)=ar(ODE) and similarly for the left side and we get area of blue region is 4 times that of triangle ODC thus required area= 2 3 4= 24 square u

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