MTS 21 25-07-2022 Shift 1


Question 1

The area of a square is 1206 cm2 and the radius of a circle is 7/6 of the length of a side of the square. What is the ratio of
the perimeter of the square and the circumference of the circle?

एक वर्ग का क्षेत्रफल 1296 cm2 है और एक बृत्त की त्रिज्या इस वर्ग की एक भुजा की लंबाई की 7/6 है। बर्ग के
परिमाप और वृत्त की परिधि का अनुपात ज्ञात कीजिए। 


Options

A

B

C

D


Solution:

Correct Answer:

A


Area of square = a2 = 1296 cm

So side of square = a = 36 cm

radius of circle = r = 76\frac76 ×\times 36 = 42 cm

Perimeter of square = 4a = 4 ×\times 36 = 144 cm

Circumference of the circle = 2π\pir = 2 ×\times 227\frac{22}{7} ×\times 42 = 264 cm

Now ratio of 4a : 2π\pir = 144 : 264 = 6 : 11

वर्ग का क्षेत्रफल  = a2 = 1296 cm

वर्ग की भुजा  = a = 36 cm

वृत्त की त्रिज्या  = r = 76\frac76 ×\times 36 = 42 cm

वर्ग का परिमाप  = 4a = 4 ×\times 36 = 144 cm

वृत्त की परिधि  = 2π\pir = 2 ×\times 227\frac{22}{7} ×\times 42 = 264 cm

अब अनुपात 4a : 2π\pir = 144 : 264 = 6 : 11

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