Question

A student represents his scores in Mathematics Statistics and Economics in a pie chart The central angle for Mathematics is ${120}^{\circ }$ He scored $96$ in Statistics and $84$ in Economics The central angle for Statistics is?

• A. ${116}^{\circ }$
• B. ${128}^{\circ }$
• C. ${192}^{\circ }$
• D. ${212}^{\circ }$

Answer 1

Answer: (B)

${128}^{\circ }$

Marks in Statistics $=96$

Marks in Economics $=84$

total angle in a pie chart$={360}^{\circ }$

Angle for Maths $={120}^{\circ }$

Angle for Statistics and Economics $=360-120={240}^{\circ }$

Total marks $=\frac{360}{240}\times (96+84)=270$

$\therefore$ Angle for statics $=\frac{96}{270}\times 360={128}^{\circ }$