Question

answer me with solution please​

Answer 1

Answers:

a) Circumference = 132 cm ----- (1)

Formula to find circumference = 2πr ----- (2)

Combining statements (1) and (2):

2πr = 132 cm

Substituting the value of π as 22/7 in the equation:

$\sf{=2\times\dfrac{22}{7}\times\:r=132\:cm}$

$\sf{=\dfrac{44}{7}\times\:r=132\:cm}$

$\sf{r=132\times\dfrac{7}{44}}$

$\sf{r=3\:cm}$

r = 3 cm

b) Circumference = 22 m ----- (1)

Formula to find circumference = 2πr ----- (2)

Combining equations (1) and (2):

2πr = 22 m

Substituting the value of π as 22/7 in the equation:

$\sf{=2\times\dfrac{22}{7}\times\:r=22\:m}$

$\sf{=\dfrac{44}{7}\times\:r=22\:m}$

$\sf{r=22\times\dfrac{7}{44}}$

$\sf{r=\dfrac{7}{2}}$

$\sf{r=3.5\:m}$

r = 3.5 m

c) Circumference = 26.4 mm ----- (1)

Formula to find circumference = 2πr ----- (2)

Combining statements (1) and (2):

2πr = 26.4 mm

Substituting the value of π as 22/7 in the equation:

$\sf{=2\times\dfrac{22}{7}\times\:r=26.4\:mm}$

$\sf{=\dfrac{44}{7}\times\:r=26.4\:mm}$

$\sf{r=26.4\times\dfrac{7}{44}}$

$\sf{r=0.6\times7}$

$\sf{r=4.2\:mm}$

r = 4.2 mm

Final Answers:

a) r = 3 cm

b) r = 3.5 m

c) r = 4.2 mm

Answer 2

Required solution:-

Part a:

Given:

• Circumference = 132 cm

To find:

• radius

We know:

$\boxed{ \rm{}circumference = 2\pi r}$

By using this formula we can find value of radius

$:\implies \sf{}circumference = 2\pi r$

$:\implies \sf{}132 = 2 \times \dfrac{22}{7} \times r$

$:\implies \sf{}132=\dfrac{22 \times 2}{7} \times r$

$:\implies \sf{}132 =\dfrac{44}{7} \times r$

$:\implies \sf{}r = 132 \times \dfrac{7}{44}$

$:\implies \sf{}r = \cancel{132} \times \dfrac{7}{\cancel{44}}$

$:\implies \sf{}r = 3\times \dfrac{7}{1}$

$:\implies \sf{}r = \dfrac{7 \times 3}{1}$

$:\implies \sf{}r =\underline{ \underline{21 \: cm}}$

Part b:

Given:

• Circumference = 22 m

To find:

• radius

We know:

$\boxed{ \rm{}circumference = 2\pi r}$

By using this formula we can find value of radius

$:\implies \sf{}circumference = 2\pi r$

$:\implies \sf{}22= 2 \times \dfrac{22}{7} \times r$

$:\implies \sf{}r = \dfrac{22 \times 7}{22 \times 2}$

$:\implies \sf{}r = \dfrac{\cancel{22} \times 7}{\cancel{22} \times 2}$

$:\implies \sf{}r = \dfrac{7}{2}$

$:\implies \sf{}r = \underline{ \underline{3.5 \:m}}$

Part c:

Given:

• Circumference = 26.4 mm

To find:

• radius

We know:

$\boxed{ \rm{}circumference = 2\pi r}$

By using this formula we can find value of radius

$:\implies \sf{}circumference = 2\pi r$

$:\implies \sf{}26.4= 2 \times \dfrac{22}{7} \times r$

$:\implies \sf{}r = \dfrac{26.4 \times 7}{22 \times 2}$

$:\implies \sf{}r = \dfrac{26 \cancel.4 \times 7}{22 \times 2 \times 10}$

$:\implies \sf{}r = \dfrac{264 \times 7}{22 \times 2 \times 10}$

$:\implies \sf{}r = \dfrac{\cancel{264} \times 7}{\cancel{22} \times 2 \times 10}$

$:\implies \sf{}r = \dfrac{\cancel{12}\times 7}{ \cancel2 \times 10}$

$:\implies \sf{}r = \dfrac{6\times 7}{ 1\times 10}$

$:\implies \sf{}r = \dfrac{42}{ 1\times 10}$

$:\implies \sf{}r = \underline{ \underline{4.2 \:mm}}$

Happy learning! :)