Question

Maths - Grade 8 - Algebraic Expressions

Answer 1

Hello there !
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Jackson said -   if we double the circumference of a circle then the circle area will be get doubled 
lets check it 
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Lets suppose circumference of circle = 2πr 
                                area       "     "      = πr² 
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If radius of circle is 3 cm 
its circumference is  6π
and its area is  9 π
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when we double the circumference 
12 π
it means radius get doubled 
after doubling area will be 
36 π ( 4 x 9 π)
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it means doubling the circumference will not doubled the area 

Answer 2

According to Jackson,

Doubling the circumference of a circle results in the doubling of the circle's area.
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Checking whether it is correct,

We know that,

Circumference of a circle = 2πr

Area of the circle = πr²

Let's have an example,

Take radius of the circle = 2 cm

Circumference of the circle = 2π(2)

→ = 4π

Area of the circle = π(2)²

→ = 4π

Circumference is doubled,

2(4π) = 8π

= 2π(4)

It means radius is doubled,

Therefore,

Now doubled radius = 4

Area of the circle = π(4)²

→ 16π

Area of the circle is not doubled.

So,Jackson is not correct.

Hope it helps,,......