Math, asked by aspmohan2, 1 year ago

find the area of the shaded region

Attachments:

amitnrw: Find area of parabola with dimensions of length 7 & 7root3

amitnrw: Please some one solve it by calculating area above chord method

Answers

Answered by amitnrw

Answer:

56.58

Step-by-step explanation:

Shaded region is basically a parabola with height =

Width = w

Area = (2/3)*h*w

Let say semicircle cuts at point C & D

CD = w

Semi circle touches rectangle at A and B point

AB = height = 7

Now lets draw two triangles abc and abd

In triangle abc

Ab = bc = ac = radius = 7

Let say e is center point of ab & cd

(CE )^2 = AC^2 - AE^2

(CE)^2 = 7^2 -(7/2)^2

CE = 7root3/2

Similarly

DE = 7root3/2

So CD = w = 7root3

Area of shaded region

= (2/3)×7×(7root3)

= 56.58

aspmohan2: how did u get CE = 7√3/2

aspmohan2: its √36.75

amitnrw: both are equivalent
Root(7^2 - (7/2)^2) = Root(49 - 49/4) = Root(49-12.25) = root(36.75) .
Another way Root (7^2 - (7/2)^2) = 7Root(1^2 - (1/2)^2) = 7 Root ( (4 - 1)/2^2) = (7/2) root3 = (7 * root3 )/ 2 . hope it helps you

aspmohan2: but the answer is 60.3 units

amitnrw: Then it need to be solved with different method . Let say intersection point of circles c & d then CD is an chord and we need to calculate area above chord

amitnrw: Please post this question again and let me know. I will solve with another method as well

amitnrw: then area is coming around 60.2

aspmohan2: i posted this question again

amitnrw: let me know question number

amitnrw: Solution given

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