Question

if the length of the Chod 24 cm of a circle and the distance from the length is 5 cm what is the radius of the circle ​

Answer 1

$\bf \to \: \green{{ \underline{given \div }}}$

$\sf \to \: the \: length \: of \: the \: chord \: = 24cm \\ \\ \sf \to \: the \: distance \: from \: the \: length \: = 5cm$

$\bf \to \: \pink{{ \underline{ \: find \: the \: radius \: of \: the \: circle}}}$

$\bf \to \: \orange{{ \underline{step - \: by - \: step \: - solution}}}$

$\sf \to \: length \: of \: chord \: = 24cm \\ \\ \sf \to \: distance \: from \: the \: length \: = 5cm \\ \\ \sf \to \: base \: of \: the \: chord \: = 12cm \\ \\ \sf \to \: by \: using \: pythagorus \: theorm \\ \\ \sf \to \: h {}^{2} = {b}^{2} + {p}^{2} \\ \\ \sf \to \: {h}^{2} = (12) {}^{2} + (5) {}^{2} \\ \\ \sf \to \: {h}^{2} = 144 + 25 \\ \\ \sf \to \: {h}^{2} = 169 \\ \\ \sf \to \: h \: = \sqrt{169} = 13cm \\ \\ \sf \to \: { \underline{the \: radius \: of \: the \: circle \: = 13cm}}$

Answer 2

$\sf \large \red{\underline{ Question:-}}$

• if the length of the Chod 24 cm of a circle and the distance from the length is 5 cm what is the radius of the circle

$\\\\\sf \large \red{\underline{Given:-}}$

• $\sf \: length \: of \: the \: Chod \: 24 \: cm \: ( \: c \: ) \: = 24$
• $\text{ \sf \: the distance from the length is 5 cm \: ( \: r \: ) = 5}$

$\\\\\sf \large \red{\underline{To \: Find:-}}$

• $\text{ \sf \: what is the radius of the circle }$

$\\\\\sf \large \red{\underline{Solution :- }}$

$\sf \underline{we \: have \: formulae : } \\ \\ \boxed{ \sf \red{ the \: radius \: of \: a \: circle \: are \: C=2 \times \pi \times r}}$

$\sf \underline {\: putting \: all \: values : }$

$\sf \to \: 24 = 2 \times \frac{22}{7} \times 5 \\ \\ \sf \to</p><p>24 = \frac{44}{7} \times 5 \\ \\ </p><p> \sf \to \: 12 = 22 \times \frac{5}{7} \\ \\ \sf \to \: 6 = 11 \times \frac{5}{7} \\ \\ </p><p> \sf \to \: 42 = 55 \\ \\ </p><p> \sf \to \: 55 - 42 \\ \\ </p><p> \sf \to \: 13 \:cm$

$\\ \sf \underline{ \red{hence \:the \: radius \: of \: the \: circle \: is \:13 \:cm} \huge \dag }$