Circle c has a radius of 10cm. Each of pounts B and D is on the midpoint of the radius. Find the area of the shaded region. Please how come the answer is 45.19? Can someone give me the solution for this? Please please thank youuu!

Question

accessdenied · Answer

Can you show us the shaded region in the question?

anonymous · Answer

yes, we can't help you if you don't show us a picture of the shaded area

anonymous · Answer

attachment

anonymous · Answer

Please help me :( i can't find the area of the small triangle :( please show me the solution why the answer is 45.19 :( thanks guys

anonymous · Answer

please help me :(

accessdenied · Answer

By small triangle, you mean this one?
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And can you find the area of the kite figure underneath it?

anonymous · Answer

|dw:1414385674638:dw|
area of the whole quarter of a circle= A=1/4pi (10cm)^2 = 78.5
area of ACB = 10*5/2 = 25
area of BEF = (5* 10/3) / 2 + 8.3333
area of shaded= 79.5 - 25 - 8.333 = 45.1

anonymous · Answer

why did you divide it by 3? in the area of BEF and where does 8.333 came from? :))

anonymous · Answer

why did you divide it by 3? and where does 8.333 came from? please master answer me :)

anonymous · Answer

i found the intersection point between AB and DE. that y-coordinate is the height of the BEF triangle. the base in BEF is also 5. the y-coordinate i found (=the height) is 10/3. so the area A= (base)(height)/2 = (5)(10/3) / 2 = 8.3333