Answer
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Hint: As we know that the circumference of the circle is given by \[{{2\pi r}}\]. Equating the given value to the known formula
We can get the value of r .
Complete step-by-step answer:
We know that circumference of circle is \[{{2\pi r}}\], and given that Circumference of circle is 176cm
So, \[{{2\pi r = 176}}\]
\[ \Rightarrow {\text{r = }}\dfrac{{{\text{176}}}}{{{{2(\pi )}}}}\]
On substituting the value of \[{{\pi }}\] we get,
\[
\Rightarrow {\text{r = }}\dfrac{{{\text{88}}}}{{{\text{(}}\dfrac{{{\text{22}}}}{{\text{7}}}{\text{)}}}} \\
\Rightarrow {{r = 4 \times 7}} \\
\Rightarrow {\text{r = 28cm}} \\
\]
Hence we can see that option (c) is our required correct answer.
Note: Circle : A circle is a collection of points where all the points are equidistant from the given point called the centre “O”.
Circle Properties
Some of the important properties of the circle are as follows:
1.The circles are said to be congruent if they have equal radii.
2.The diameter of a circle is the longest chord of a circle.
3.Equal chords and equal circles have the equal circumference.
4.The radius drawn perpendicular to the chord bisects the chord.
5.A circle can circumscribe a rectangle, trapezium, triangle, square, kite.
We can get the value of r .
Complete step-by-step answer:
We know that circumference of circle is \[{{2\pi r}}\], and given that Circumference of circle is 176cm
So, \[{{2\pi r = 176}}\]
\[ \Rightarrow {\text{r = }}\dfrac{{{\text{176}}}}{{{{2(\pi )}}}}\]
On substituting the value of \[{{\pi }}\] we get,
\[
\Rightarrow {\text{r = }}\dfrac{{{\text{88}}}}{{{\text{(}}\dfrac{{{\text{22}}}}{{\text{7}}}{\text{)}}}} \\
\Rightarrow {{r = 4 \times 7}} \\
\Rightarrow {\text{r = 28cm}} \\
\]
Hence we can see that option (c) is our required correct answer.
Note: Circle : A circle is a collection of points where all the points are equidistant from the given point called the centre “O”.
Circle Properties
Some of the important properties of the circle are as follows:
1.The circles are said to be congruent if they have equal radii.
2.The diameter of a circle is the longest chord of a circle.
3.Equal chords and equal circles have the equal circumference.
4.The radius drawn perpendicular to the chord bisects the chord.
5.A circle can circumscribe a rectangle, trapezium, triangle, square, kite.
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