Math, asked by ishant2873, 11 months ago

the circumference of a circle is 440 metre find the radius and area of circle
(\pi = 3.14)

Answers

Answered by ParamPatel
2

Answer:

Circles

Step-by-step explanation:

★ Given ;

» Circumference of circle = 440 m

» Radius = ??

» Area of circle = ??

1 ] Radius

Circumference = 2 × π × R

R = Circumference / 2 × π = 440 / 2 × 3.14 = 440 / 6.28

Radius = 70 metres

2 ] Area of circle

Area ( A ) = π R²

= 3.14 × ( 70 )²

= 15,386 m²

Hope it helps you

Answered by Rohit18Bhadauria
5

Given:

  • A circle with circumference 440m

To Find:

  • Radius and area of circle

Solution:

We know that,

  • Circumference of circle= 2πr
  • Area of circle= πr²

It is given that,

Circumference= 440m

\longrightarrow\sf{2\pi r=440}

\longrightarrow\sf{r=\dfrac{220}{\pi}}

\longrightarrow\sf{r=70.06m}

\longrightarrow\sf{Area\:of\:Circle=\pi \bigg(\dfrac{220}{\pi}\bigg)^{2}}

\longrightarrow\sf{Area\:of\:Circle=\pi \bigg(\dfrac{48400}{\pi^{2}}\bigg)}

\longrightarrow\sf{Area\:of\:Circle=\dfrac{48400}{\pi}}

\longrightarrow\sf{Area\:of\:Circle=\dfrac{48400}{3.14}}

\longrightarrow\sf{Area\:of\:Circle=15414.01m^{2}}

Hence, radius and area of given circle are 70.06 m and 15414.01 m².

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