Topic 3.7: Radians (HL only) Questions

Convert 1.75 radians to degrees, correct to one decimal place.

A circular running track has radius 30 m. A runner covers a sector with central angle 0.9 radians. Find the distance run along the curve.

Convert 225° to radians, giving an exact answer in terms of π.

π/6 radians in degrees is:

To turn an angle in degrees into radians you:

A sector with radius 10 m and angle 1 radian has area:

A sector of a circle has arc length 15 cm and radius 6 cm. Find the central angle θ in radians, and hence the sector's area.

An arc of length 10 cm sits on a circle of radius 4 cm. The central angle in radians is:

Which statement is TRUE about the formulas l = rθ and A = ½r²θ?

A pizza of radius 14 cm is cut into a slice with central angle 40°. Find the area of the slice, correct to 3 s.f.

A goat is tethered by a 5 m rope to the corner of a rectangular barn, so it can graze a sector of angle 270° outside the barn. (a) Find the grazing area, to 3 s.f. (b) Comment on whether a 4 m rope would give more or less than half this area.