Question

if the circumference of circle is increased by 50% find the area increased​

Answer 1

Answer:

A=πr2 hope it will help you mark me as brilliant

Answer 2

☆ Hey Buddy ☆

☆Answer ☆

125%

☆Explanation ☆

$circumference \: = 2\pi \: r \: \: where \: r \: radius \: is \: of \: circle$

So Area Of Circle

$= > 2\ \:\pi\: r {}^{2}$

Circumference is Propotional to Radius

When Circumference is Increased By 50%

So, New Radius = 150 r /100 = 1.5 r

So, New Area

$= > (1.5 \: r \: ) {}^{2} \times \pi$

So, Increased in Area

$= > (1.5 \: r) {}^{2} \times \pi - \pi \: \: r \: {}^{2}$

$= > \pi(2.25 \: r {}^{2} - r {}^{2} )$

$= > 1.25\pi \: {}^{2}$

$\% \: increased \: \: in \: area \: = \frac{increase \: in \: area \: }{original \: area \: } \times 100$

$= > \frac{1.25\pi r \: {}^{2} }{\pi r \: {}^{2} } \times 100$

$= > 125\%$

☆Additional Information ☆

Circumference- The Outer Boundary Of Circle is known as Circumference.

Area -Area is the quantity that expresses the extent of a two-dimensional figure or shape or planar lamina, in the plane. 

In SI base units: 1 m2

SI unit: Square metre

☆HoPe iT HeLpS YoU ☆