Question

A circular shaped wire with diameter 42 cm was straightened out and bent into the shape of an equilateral triangle. Find the lenght of each side of the triangle in metres

Answer 1

Answer:

Let the sides of the rectangle be 6x cm and 5x cm.

Perimeter of the rectangle = Circumference of Circle

⇒2(6x+5x)=2×  22 /7 ×21

⇒22x=132

⇒x=6

∴ The sides of the rectangle are 36cm and 30cm.

∴ Area of the rectangle =36×30=1080cm  

2

Step-by-step explanation:

Answer 2

The correct answer is 44cm.

Given: A circular shaped wire with diameter 42 cm.

To Find: Length of side of triangle.

Solution:

Diameter = 2r = 42.

r = 21 cm.

Circumference = 2$\pi$r.

= $2*\frac{22}{7}*21$

= 6*22

= 132 cm.

Now according to the statement the circumference of circle is equalt to perimeter of triangle.

Let the side of triangle = x.

Perimeter = 3x.

3x = 132

x = 44 cm.

Hence, the side of triangle is 44 cm.

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