Question

A wire of 220m length is moulded in the form of circle and a square turn by turn. Find the
ratio of the area of circle to that of square.देवेंद्र सर्कुलर पॉन्ड एंड फुटपाथ रन अलोन इट्स बाउंड्री अमन वॉक अराउंड थे एग्जैक्ट ली वन कीपिंग क्लोज टू द एचसीएफ ऑफ 4 सेंटीमीटर लॉन्ग एंड ही टेक एग्जैक्ट ली सेक्शन रेड टेप टू गो अराउंड द पोंड व्हाट इज द रेडियस ऑफ द पोंड ​

Answer 1

Answer:

The ratio of area to that circle is 154 : 121

Explanation:

Question says that,

A wire of 220metres length is moulded in the form of circle and then a square turn by turn.

Find the ratio of area of circle to that of square.

Step 1 : Find the radius of circle :

Since, the wire is being moulded in a circle

It is covering the circumstance of the circle.

We can say that,

Circumstances of the circle = length of the wire

Or,

→ 2πr = 220

Where,

• r is radius
• Taking ‘π’ as 22/7

→ 2 × 22/7 × r = 220

→ 44/7 × r = 220

→ r = 220*7/44

→ r = 35

The radius of the circle is 35m.

Step 2 : Calculate the area of the circle :

Area of a circle is given by :

→ πr²

→ 22/7 × 35²

→ 3850m²

___________________________

Find the area of the square :

Step 3 : Find the each side of the square :

We know that,

Length of the wire = Perimeter of the square

Or,

→ 220 = 4 × each side

→ 220/4 = each side

→ 55 = each side

Each side of the square is 55m.

Step 4 : Calculate the area of the square :

Area of the square = (each side)²

→ (55)²

→ 3025

Area of the square is 3025m²

___________________________

Step 5 : Forming in ratio :

Area of the circle : Area of the square

→ 3850 : 3025

→ 154 : 121