Question 15 Marks
Complete the table below :
| Sr. No | Radius (r) | Diameter (d) | Circumference (c) |
| i. | 7 cm | ||
| ii. | 28 cm | ||
| iii. | 616 cm | ||
| iv. | 72.6 cm |
Answer
View full question & answer→"i. Radius $(r)=7 cm$
Diameter $( d )=2 r$ $=2 \times 7=14 cm$
Circumference (c) $=\pi d$ $=\frac{22}{7} \times 14$
$=44 cm$ ii. Diameter $( d )=28 cm$
Radius $(r)=\frac{d}{2}=\frac{28}{2}=14 cm$
Circumference $(c)=\pi d$
$
\begin{aligned}
& =\frac{22}{7} \times 28 \\
& =88 cm
\end{aligned}
$ \begin{aligned}
& \text { iii. Circumference }( c )=616 cm \\
& \therefore \pi d =616 \\
& \therefore \frac{22}{7} \times d =616 \\
& \therefore d =616 \times \frac{7}{22} \\
& \therefore d =196 cm \\
& \therefore \text { Diameter (d) }=196 cm \\
& \text { Radius }( r )=\frac{ d }{2}=\frac{196}{2}=98 cm
\end{aligned} \begin{aligned}
& \text { iv. Circumference }( c )=72.6 cm \\
& \therefore \pi d =72.6 \\
& \frac{22}{7} \times d =72.6 \\
& \therefore d=72.6 \times \frac{7}{22}=\frac{726}{10} \times \frac{7}{22}=\frac{33 \times 7}{10} \\
& \therefore d =23.1 cm \\
& \therefore \text { Diameter }( d )=23.1 cm \\
& \text { Radius }( r )=\frac{ d }{2}=\frac{23.1}{2} \\
& =11.55 cm
\end{aligned}
Diameter $( d )=2 r$ $=2 \times 7=14 cm$
Circumference (c) $=\pi d$ $=\frac{22}{7} \times 14$
$=44 cm$ ii. Diameter $( d )=28 cm$
Radius $(r)=\frac{d}{2}=\frac{28}{2}=14 cm$
Circumference $(c)=\pi d$
$
\begin{aligned}
& =\frac{22}{7} \times 28 \\
& =88 cm
\end{aligned}
$ \begin{aligned}
& \text { iii. Circumference }( c )=616 cm \\
& \therefore \pi d =616 \\
& \therefore \frac{22}{7} \times d =616 \\
& \therefore d =616 \times \frac{7}{22} \\
& \therefore d =196 cm \\
& \therefore \text { Diameter (d) }=196 cm \\
& \text { Radius }( r )=\frac{ d }{2}=\frac{196}{2}=98 cm
\end{aligned} \begin{aligned}
& \text { iv. Circumference }( c )=72.6 cm \\
& \therefore \pi d =72.6 \\
& \frac{22}{7} \times d =72.6 \\
& \therefore d=72.6 \times \frac{7}{22}=\frac{726}{10} \times \frac{7}{22}=\frac{33 \times 7}{10} \\
& \therefore d =23.1 cm \\
& \therefore \text { Diameter }( d )=23.1 cm \\
& \text { Radius }( r )=\frac{ d }{2}=\frac{23.1}{2} \\
& =11.55 cm
\end{aligned}
| Sr. No | Radius (r) | Diameter (d) | Circumference (c) |
| i. | 7 cm | 14 cm | 44 cm |
| ii. | 14 cm | 28 cm | 88 cm |
| iii. | 98 cm | 196 cm | 616 cm |
| iv. | 11.55 cm | 23.1 cm | 72.6 cm |