Question

The number of votes received in the election of class monitor are
Mona $-$ $6$ votes,

Payal $-$ $10$ votes,

Prashant $-$ $2$ votes,

Sona $-$ $20$ votes,

Rajen $-$ $15$ votes,

Meera $-$ $4$ votes,

Subhash $-$ $3$ votes
In a circle graph the central angle corresponding to the votes of Sona, Mona, Meera and Subhash are

• A. ${120}^{\circ },{36}^{\circ },{24}^{\circ },{18}^{\circ }$
• B. ${38}^{\circ },{115}^{\circ },{25}^{\circ },{20}^{\circ }$
• C. ${50}^{\circ },{30}^{\circ },{130}^{\circ },{30}^{\circ }$
• D. ${72}^{\circ },{36}^{\circ },{48}^{\circ },{150}^{\circ }$

Answer 1

The correct option is A ${120}^{\circ },{36}^{\circ },{24}^{\circ },{18}^{\circ }$

Total no of votes $=6+10+2+20+15+4+3=60$
Central angles corresponding to the various votes
Mona $=\frac{6\times {360}^o}{60}={36}^{\circ }$
Payal $=\frac{10\times {360}^o}{60}={60}^{\circ }$
Prashant $=\frac{2\times {360}^o}{60}={12}^{\circ }$
Rajen $=\frac{15\times {360}^o}{60}={90}^{\circ }$
Subhash $=\frac{3\times {360}^o}{60}={18}^{\circ }$
Sona $=\frac{20\times {360}^o}{60}={120}^{\circ }$
Meera $=\frac{4\times {360}^o}{60}={24}^{\circ }$