Question

From a circular pizza, Rohan takes out a quarter of it by making two cuts along its radius. And then Krishna took half of the remaining by making a cut along the radius. What is the angle subtended at the centre by the leftover pizza?

• A. ${135}^{\circ }$
• B. ${90}^{\circ }$
• C. ${145}^{\circ }$
• D. ${120}^{\circ }$

Answer 1

The correct option is A

${135}^{\circ }$

Rohan took a quarter i.e. his slice made an angle of ${90}^{\circ }$ at the centre

Angle of remaining pizza at the centre = ${360}^{\circ }$ - ${90}^{\circ }$ = ${270}^{\circ }$

Krishna took half of the remaining i.e. the angle of his slice is $\frac{{270}^{\circ }}{2}$ = ${135}^{\circ }$

Angle of the remaining slice is same i.e. ${135}^{\circ }$.