Question

Q-4 Solve the following.
(1) Priya took a wire and bent it to form a circle of radius 14 cm. Then she bent it into a rectangle
with one side 24 cm long. What is the length of the wire? Which figure encloses more area, the
circle or the rectangle? (n = 22)​

Answer 1

Answer:

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Step-by-step explanation:

Given, Radius of circle =14cm and Length of rectangle l=24cm

Hence, length of the wire= circumference of circle

=2πr=2× 22/7 ×14 =88cm

So, length of wire is 88 cm

Let b the width of rectangle.

Since, the wire is bent again in the form of rectangle

Hence, perimeter of rectangle = circumference of circle=length of wire

⇒2(l+b)=88

⇒2(24+b)=88

⇒24+b=44

⇒b=44−24

⇒b=20cm

Now, Area of circle πr²=22/7 ×14×14=616cm

And, area of rectangle lb=24×20=480cm²

Therefore, the circle encloses more area than rectangle.