Question

the radius of a circle is 1unit.if its diameter is increased by 100%, its area is increased by​

Answer 1

the area is increased by 300%

Answer 2

The area is increased by 300%

Step-by-step explanation:

radius of the circle = 1 m

area of the circle = $\pi r^2$

= $\pi (1)^2 = \pi$ m²

diameter of the circle = 2(r) = 2(1) = 2 m

increase in the diamter = 100%

= 100% of 2

= 2 m

new diameter = 2+2 = 4 m

new radius = 2 cm

new area = $\pi r^2$

= $\pi (2)^2$

= $4\pi$ m²

increase in the area = new area - old area

= $4\pi$ - $\pi$

= $3\pi$ m²

percent increase in the area = $\frac{3\pi }{\pi } \times 100$

= 300%

hence,

the area is increased by 300%

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