In the given figure, PQRS is a square of diagonal 72√cm.WithPasthecentre,thearcQMSisdrawn.Wi^stheareaoftheshadedregion(incm2)?

(a): (Refer to Q. 10: Area (QMS) =12×standardizedareaasgivenisquestion10).Areaofshadedregion=Areaofthesec→rPQMS?Areaof△PQSQS=2√(side)=72√cm Side = 7cm Area of sector PQS=90∘360∘π(7)2=49π4cm2Areaof△PQS=12(PQ)(PS) =12(7)2=492cm2 Required area =(49π4−492)cm2 =494(π−2)cm2

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In the given figure, PQRS is a square of diagonal {7}2√cm.{W}{

Question

In the given figure, PQRS is a square of diagonal $7$ 2 $\sqrt$ cm $. W i t h P a s t h e c e n t r e, t h e a r c Q M S i s d r a w n . W \hat{i} s t h e a r e a o f t h e s h a d e d r e g i o n$ (inc $m$ 2 $)$ ?

49

(π - 2) ∣ ∣

4

(π−1)

49

(π - 3) ∣ ∣

2

(π−2)

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Benjamin Discussed

In the given figure, PQRS is a square of diagonal

7

\sqrt

. W i t h P a s t h e c e n t r e, t h e a r c Q M S i s d r a w n . W \hat{i} s t h e a r e a o f t h e s h a d e d r e g i o n

(inc

m

)

10 mins ago

Discuss this question LIVE

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Text solutionVerified

(a): (Refer to Q. 10: Area (QMS)

=

2

s tan d a r d i z e d a r e a a s g i v e n i s q u e s t i o n 10) . A r e a o f s h a d e d r e g i o n = A r e a o f t h e sec \to r P Q M S ? A r e a o f △ P Q S

QS=

2

√

(s i d e)

2

√

c m

Side = 7cm Area of sector PQS

=

\circ

360

\circ

(7)

=

49π

4

m

A r e a o f △

PQS=

1

(P Q) (P S)

=

2

(7)

2

49

c

2

Required area

= (

49π

4

−

49

) c

2

=

4

(π−2)c

m

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Question Text	In the given figure, PQRS is a square of diagonal $7$ 2 $\sqrt$ cm $. W i t h P a s t h e c e n t r e, t h e a r c Q M S i s d r a w n . W \hat{i} s t h e a r e a o f t h e s h a d e d r e g i o n$ (inc $m$ 2 $)$ ?
Answer Type	Text solution:1
Upvotes	150

In the given figure, PQRS is a square of diagonal 72√cm.WithPasthecentre,thearcQMSisdrawn.Wi^stheareaoftheshadedregion(incm2)?

Text solutionVerified

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In the given figure, PQRS is a square of diagonal $7$ 2 $\sqrt$ cm $. W i t h P a s t h e c e n t r e, t h e a r c Q M S i s d r a w n . W \hat{i} s t h e a r e a o f t h e s h a d e d r e g i o n$ (inc $m$ 2 $)$ ?