Question

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Answer 1

$\huge{\underline{\underline{\rm{Question}}}}$

1.) Find area and circumstances of the circle :-

a.) r = 14cm

b.) d = 21cm

c.) r = 56cm

d.) r = 7cmcm

$\huge{\underline{\underline{\bf{\red{Required\: Answer:}}}}}$

${\underline{\underline {\bf{\purple {Some\: formula\:of \: Circle}}}}}$

. Area of circle = πr²

. Area of semicircle = πr²/2

. perimeter of semicircle = πr

. circumference of circle = 2πr

$\huge{\underline{\underline {\bf{\purple {solving}}}}}$

a.) r = 14cm

Area of circle =

by using the formula for Area of circle =π r², we can find our answer -

Are of this circle = πr²

= 22/7×14²

= 22/7×196

= 22×28

= 616cm²

So, the area of this circle = 616cm²

Circumference of circle =

using the formula for Circumference of circle =2πr, we can find our answer-

Circumference of circle = 2πr

= 2×22/7×14

= 2×22×2

= 88cm

so, the circumference of circle = 88cm

------------------------------------------------

B.) d = 21cm

Area of circle =

by using the formula for Area of circle =π r², we can find our answer -

Note :- in the given formula, we need radius of circle but we have diameter of circle, so first we have to find radius.

we can find radius as = d = 2×r or r = d/2

so, we have r = d /2

r = 21/2

r = 10.5cm

so, now we have radius of circle = 10.5cm,

hence now apply the formula for Area of circle = πr²

=> Area of circle = πr²

= 22/7× 10.5²

= 22/7×110.25

= 346.5cm²

so, the area of circle = 346.5cm²

Circumference of circle =

using the formula for Circumference of circle =2πr, we can find our answer-

circumference of circle = 2πr

= 2×22/7×10.5

= 44/7×10.5

= 66cm

so, the circumference of circle = 66cm

-------------------------------------------

c.) r = 56cm

Area of triangle =

by using the formula for Area of circle =π r², we can find our answer -

Area of circle = π r²

=> Area of circle = 22/7×56²

= 22/7×3136

= 22×448

= 9856cm²

So, the Area of circle = 9856cm²

Circumference of circle :-

using the formula for Circumference of circle =2πr, we can find our answer-

Circumference of circle = 2πr

= 2×22/7×56

= 2×22×8

= 352cm

so, The circumference of circle = 352cm

----------------------------------------------

D.) r = 7cm

Area of circle =

formula for finding the area of circle = π r²,

=> area of circle = π r²

=> = 22/7×7²

= 22×7

= 154cm²

so, The area of circle = 154cm²

Circumference of circle =

using the formula for Circumference of circle =2πr, we can find our answer-

Circumference of circle =2πr

= 2×22/7×7

= 44cm

so, the circumference of circle = 44cm

Answer 2

\huge{\underline{\underline{\rm{Question}}}}

Question

1.) Find area and circumstances of the circle :-

a.) r = 14cm

b.) d = 21cm

c.) r = 56cm

d.) r = 7cmcm

\huge{\underline{\underline{\bf{\red{Required\: Answer:}}}}}

RequiredAnswer:

{\underline{\underline {\bf{\purple {Some\: formula\:of \: Circle}}}}}

SomeformulaofCircle

. Area of circle = πr²

. Area of semicircle = πr²/2

. perimeter of semicircle = πr

. circumference of circle = 2πr

\huge{\underline{\underline {\bf{\purple {solving}}}}}

solving

a.) r = 14cm

Area of circle =

by using the formula for Area of circle =π r², we can find our answer -

Are of this circle = πr²

= 22/7×14²

= 22/7×196

= 22×28

= 616cm²

So, the area of this circle = 616cm²

Circumference of circle =

using the formula for Circumference of circle =2πr, we can find our answer-

Circumference of circle = 2πr

= 2×22/7×14

= 2×22×2

= 88cm

so, the circumference of circle = 88cm

------------------------------------------------

B.) d = 21cm

Area of circle =

by using the formula for Area of circle =π r², we can find our answer -

Note :- in the given formula, we need radius of circle but we have diameter of circle, so first we have to find radius.

we can find radius as = d = 2×r or r = d/2

so, we have r = d /2

r = 21/2

r = 10.5cm

so, now we have radius of circle = 10.5cm,

hence now apply the formula for Area of circle = πr²

=> Area of circle = πr²

= 22/7× 10.5²

= 22/7×110.25

= 346.5cm²

so, the area of circle = 346.5cm²

Circumference of circle =

using the formula for Circumference of circle =2πr, we can find our answer-

circumference of circle = 2πr

= 2×22/7×10.5

= 44/7×10.5

= 66cm

so, the circumference of circle = 66cm

-------------------------------------------

c.) r = 56cm

Area of triangle =

by using the formula for Area of circle =π r², we can find our answer -

Area of circle = π r²

=> Area of circle = 22/7×56²

= 22/7×3136

= 22×448

= 9856cm²

So, the Area of circle = 9856cm²

Circumference of circle :-

using the formula for Circumference of circle =2πr, we can find our answer-

Circumference of circle = 2πr

= 2×22/7×56

= 2×22×8

= 352cm

so, The circumference of circle = 352cm

----------------------------------------------

D.) r = 7cm

Area of circle =

formula for finding the area of circle = π r²,

=> area of circle = π r²

=> = 22/7×7²

= 22×7

= 154cm²

so, The area of circle = 154cm²

Circumference of circle =

using the formula for Circumference of circle =2πr, we can find our answer-

Circumference of circle =2πr

= 2×22/7×7

= 44cm

so, the circumference of circle = 44cm