Question

the difference between circumference and diameter of a circle is 207 cm find the radius of the circle​

Answer 1

Answer:

The Answer is

$48.36 \: cm$

Step-by-step explanation:

We know that Circumference of circle =

$2\pi \: r$

Diameter of circle

$d = 2r$

Acc to que....

$2\pi \: r - 2r = 207 \\ 2r(\pi - 1) = 207 \\ we \: know \: that \: \pi = 3.14 \\ r = \frac{207}{2 \times (3.14 - 1)} \\ = \frac{207}{2 \times 2.14 } \\ = \frac{207}{4.28} \\ = 48.36 \: cm$

Answer 2

Answer:

Given :

• ➝ The difference between circumference and diameter of a circle is 207 cm.

$\begin{gathered}\end{gathered}$

To Find :

• ➝ The radius of circle.

$\begin{gathered}\end{gathered}$

Using Formulas :

${\longrightarrow{\pink{\underline{\boxed{\sf{Circumference \: of \: circle = 2\pi r}}}}}}$

${\longrightarrow{\pink{\underline{\boxed{\sf{Diameter \: of \: circle = 2r}}}}}}$

• ➝ π = 3.14
• ➝ r = radius

$\begin{gathered}\end{gathered}$

Solution :

Here :

• ➝ Circumference of circle = 2πr
• ➝ Diameter of circle = 2r

According to the question :

${\longrightarrow{\sf{Circumference_{(Circle)} - Diameter_{(Circle)} = 207}}}$

${\longrightarrow{\sf{2\pi r - 2r = 207}}}$

${\longrightarrow{\sf{2r(\pi - 1) = 207}}}$

${\longrightarrow{\sf{r(\pi - 1) = \dfrac{207}{2}}}}$

${\longrightarrow{\sf{r(\pi - 1) = \cancel{\dfrac{207}{2}}}}}$

${\longrightarrow{\sf{r(\pi - 1) = 103.5}}}$

${\longrightarrow{\sf{r(3.14 - 1) = 103.5}}}$

${\longrightarrow{\sf{r(2.14) = 103.5}}}$

${\longrightarrow{\sf{r \times 2.14 = 103.5}}}$

${\longrightarrow{\sf{2.14r = 103.5}}}$

${\longrightarrow{\sf{r = \dfrac{103.5}{2.14}}}}$

${\longrightarrow{\sf{r = \cancel{\dfrac{103.5}{2.14}}}}}$

${\longrightarrow{\sf{r \approx 48.36 \: cm}}}$

${\bigstar{\red{\underline{\boxed{\sf{Radius \approx 48.36 \: cm}}}}}}$

Hence, the radius of circle is 48.36 cm.

$\begin{gathered}\end{gathered}$

Learn More :

$\begin{gathered} \boxed{\begin{array}{l}\\ \large\dag\quad\underline{\bf Formulas\:of\:Areas:-}\\ \\ \star \: \: \sf Circle = \pi r^2 \\ \\ \star \: \; \sf Square=(side)^2\\ \\ \star\; \; \sf Rectangle=Length\times Breadth \\\\ \star \: \: \sf Triangle=\dfrac{1}{2}\times Breadth\times Height \\\\ \star \: \: \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \: \: \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star \: \: \sf Rhombus =\:\dfrac {1}{2}p\sqrt {4a^2-p^2}\\ \\ \star \: \: \sf Parallelogram =Breadth\times Height\\\\ \star \: \: \sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star \: \: \sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {array}}\end{gathered}$

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