#Circles - 9th grade, solving distance and proving (Solution given)
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so the radius is 10 cm, which means that you know the distance from OA, OB and OC, which are all 10cm
E is the midpoint of A and b, and to find OE, you need to use Pythagoras. we know two sides, one is the radius (OB) and the other is BE. In the mark scheme, OE is 8cm
then you can use OE to find the area of OAB, which is 1/2 x b x h which is 48cm
since all 3 sides of OAB are the same as OBC, they are the same triangle
if you redefine the area of OAB by making AD the height and OB the length
we dont know what AD is, so we will leave it as AD. The area is 5 x ad and we know it multiplies to 48, so 48/5 = 9.6.
we then times ad x 2 to get AB, and that is 19.2cm
hope that helps
@bold bone