A) \[22\sqrt{2}\]units
B) \[23\sqrt{2}\]units
C) \[11\sqrt{2}\] units
D) None of these
Correct Answer: C
Solution :
The distance between ends points of the diameter gives the value of the diameter. Here, the points are (24, 1) and (2, 23) |
\[\therefore \,\,\,d=\sqrt{{{\left( 2-24 \right)}^{2}}+{{\left( 23-1 \right)}^{2}}}\] |
\[=\sqrt{{{\left( -22 \right)}^{2}}+{{\left( 22 \right)}^{2}}}\] |
\[=\sqrt{{{\left( 22 \right)}^{2}}\left( 1+1 \right)}\] |
\[=22\sqrt{2}\] units |
\[\therefore\] Radius Of a circle \[r=\frac{d}{2}=\frac{22\sqrt{2}}{2}\] |
\[=11\sqrt{2}\]units |
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