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Q:

In the given figure, ABCD is a square. EFGH is a square formed by joining mid points of sides of ABCD. LMNO is a square formed by joining mid points of sides of EFGH. A circle is inscribed inside EFGH. If area of circle is 38.5 sq.cm, the what is the area (in sq.cm) of square ABCD?

A) 98 B) 196
C) 122.5 D) 171.5
 
Answer & Explanation Answer: B) 196

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Filed Under: Area
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Q:

In the given figure, PQRS is a quadrilateral. If QR = 18 cmand PS = 9 cm,then what is the area (in sq. cm) of quadrilateral PQRS?

A) (64√3)/3 B) (177√3)/2
C) (135√3)/2 D) (98√3)/3
 
Answer & Explanation Answer: C) (135√3)/2

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Q:

In the given figure, P  is the center of the circle. If QS = PR, then what is the ratio of angles RSP to the TPR ?

A) 1 : 4 B) 2 : 5
C) 1 : 3 D) 2 : 7
 
Answer & Explanation Answer: C) 1 : 3

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Filed Under: Volume and Surface Area
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Q:

In the given figure, PQR is a right angled triangle at Q. If PQ = 35 cm and QS = 28 cm, then what is the value (in cm) of SR?

A) 35.33 B) 37.33
C) 41.33 D) 43.33
 
Answer & Explanation Answer: B) 37.33

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Q:

In the given figure, MNOP is a square of side 6 cm. What is the value ( in cm ) of radius of circle?

A) 4.25 B) 3.75
C) 3.5 D) 4.55
 
Answer & Explanation Answer: B) 3.75

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Q:

In the given figure, PQRS is a square of side 20 cm and SR is extended to point T. If the length of QTis 25 cm, then what is the distance (in cm) between the centers O1 and O2 of the two circles?

A) 5√10 B) 4√10
C) 8√5 D) 16√2
 
Answer & Explanation Answer: A) 5√10

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Q:

In the given figure, CD and AB are diameters of circle and AB and CD are perpendicular to each other. LQ and SR are perpendiculars to AB abd CD respectively. Radius of circle is 5 cm, PB : PA = 2 : 3 and CN: ND = 2 : 3. What is the length (in cm) of SM ?

 

A) [(5√3) – 3] B) [(4√3) – 2]
C) [(2√5) – 1] D) [(2√6) – 1]
 
Answer & Explanation Answer: D) [(2√6) – 1]

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Q:

In the given figure, PQRS is a square inscribed in a circle of radius 4 cm. PQ is produced till point Y. From Y a tangent is drawn to the circle at point R. What is the length (in cm) of SY ?

A) 4√10 B) 2√10
C) 6√10 D) 3√5
 
Answer & Explanation Answer: A) 4√10

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Filed Under: Area
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