DSQ: Calculating the angle for a percentage of a circle

Practice Questions

GMAT Quantitative Reasoning › DSQ: Calculating the angle for a percentage of a circle

Questions

Brendan's girlfriend made him a cheescake for his birthday. He eats one slice a day. What is the measure of the central angle of each slice?

I) The diameter of the cake is .

II) Each slice is $\frac{1}{12}$ of the total cake.

Walder is at his cousin's wedding preparing to eat a slice of pie.

I) Walder's slice has a radius of half a meter

II) Walder's slice is 5% of the total pie

What is the central angle of Walder's slice?

Alex decided to order a circular pizza. Find the angle that represents the slice of pizza he ate.

I) The pizza had a radius of 14in.

II) The slice Alex ate represented one-fifth of the total pizza.

One slice of a pizza is $\frac{5\pi}{4}in^2$ . What is the central angle of one slice?

I) Each slice is of the whole pizza.

II) Each straight edge the slice is $\frac{\sqrt{5}}{2}$ inches.

Find the angle for the percentage of a circle.

Statement 1: A circle diameter is 5.

Statement 2: The sector length is $2\pi$ .