Question

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Find the area of shaded region. pls answer it fast . you are reported if u spam. perfect answer will be marked as top answer​

Answer 1

➠Solution:-

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Firstly we will find the midpoint of the coordinates

Mid point of CD =(7+1/2),(7+3/2)⇒4, 5

Let O be the midpoint ,then coordinates of O will be

O(4,5)

Here we will see that the distance between the OD will be the radius of the circle.

Thus , OD=√(1-4)²+(3-5)²

➠OD=√(-3)²+(-2)²

➠OD=√13

Thus we got radius of the circle =√13

Now area of the circle =π r²=π(√13)²

Area of circle =⇒ 13π cm²

Now we know that area of triangle =1/2 r² sin θ

Where theta is the angle subtended by the chord of the circle

Here , clearly the circle is divided into 4 parts , thus angle between each part will be

θ ⇒360⁰/4

θ ⇒90⁰

Now area of triangle =1/2 ×13 ×sin 90⁰ =13/2 cm ²

• Area of shaded part = 13π-13/2
• Area of shaded part =(26π-13) /2
• Area of shaded part =13/2(2π-1)

Or putting value of π=3.14 we get

• Area of shaded part = 13/2×5.48
• Area of shaded part = 35.62 cm² (approx)

Answer 2

Answer:

21.85sq.units

Step-by-step explanation:

Let the centre be O.

By distance formula,

AB=√(11-7)²+(7-3)²

√4²+4²=√32=4√2units

OA=OB=OC=OD=4√2/2=2√2units

Area of the shaded region

=Area of the circle-Area of the right triangle

=π(OA)²-1/2×OA×OD

=(OA)²[π-1/2] [OA=OD]

=(2√2)²[22/7-1/2]

=8×[44-7]/14

=8×37/14

=306/14

=153/7

=21.85sq.units