Question

answer it......... ,​

Answer 1

$\bigstar \underline{\underline{\sf Given:-}}$

• Circumference of a circular sheet =154cm.

$\bigstar \underline{\underline{\sf To\ find:-}}$

• Radius. ?
• Area of sheet. ?

$\bigstar \underline{\underline{\sf Solution:-}}$

1.To find Radius:-

We know:-

✦Circumference of a sphere =2πr

Given,circumference =2πr

$:\implies \sf 2\pi r=154\\\\:\implies \sf 2(\frac{22}{7} )(r)=154\\\\:\implies \sf r=154 (\frac{7}{44} )\\\\:\implies \sf r=7(\frac{7}{2} )\\\\:\implies \sf r=\frac{49}{2} \\\\:\implies \boxed{\boxed{\sf r=24.5m.}}$

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2.To find Area of sheet:-

We know:-

✦Area of sphere=πr²

$:\implies \sf Area=\pi r^2\\\\:\implies \sf \pi r^2=\frac{22}{7} (24.5)^2\\\\:\implies \sf \frac{22}{7} (\frac{49}{2} )(\frac{49}{2} )\\\\:\implies \sf 11\times \frac{343}{2} \\\\:\implies \sf \frac{3773}{2} \\\\:\implies \boxed{\boxed{\sf Area=1886.5m^2}}$

Hence,

Radius of sheet = 24.5m.

Area of sheet = 1886.5m²

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Know More:-

↬Radius =Diameter/2

↬Length of an arc =(Central angle made by the arc/360°) × 2 × π × R.

↬Equal chords and equal circles have the equal circumference.

↬Circles having different radius are similar.

↬The diameter of a circle is the longest chord of a circle.

• ↬Area of circle =πr².
• Area of square=(side)².
• Area of rectangle =l×b.
• Area of triangle =1/2×b×h
• Area of semi-circle: πr²/2

↬Perimeter of semi-circle: πr.

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Answer 2

Question given :

• The circumference of a circular sheet is 154 m . We have to find the radius and it's area

To find :

• Radius of the sheet
• Area of the sheet

Formulas used :

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

Required solution :

To find the radius we must use the formula of circumference of circle ,

= Circumference = 2πr

= 154 m = 2 × $\sf\dfrac{22}{7}$ × r

= 154 = $\sf\dfrac{44}{7}$ × r

= 154 × $\sf\dfrac{7}{44}$ = r

= $\sf\dfrac{1078}{44}$ = r

= 24.5 = radius

Area of circle ,

= Area of the circle = πr²

= Area of the circle = $\sf\dfrac{22}{7}\:\times\:(24.5)^2$

= Area of the circle = $\sf\dfrac{22}{7}\:\times\:600.25$

= Area of the circle = $\sf\dfrac{13205.5}{7}$

= Area of the circle = $\sf\:1886.5\:m^2$