Mr Daniels Maths
Radians, Arc length and Area

Set 1

Set 2

Set 3

Q1) Convert 0.44 rad to degrees? [ 25 °]

Q1) Calcuate the length of an arc of radius 175 mm and angle 1.22 radians. [ 213.50 mm]

Q1) Calcuate the area of a sector of radius 35 cm and angle 4.10 radians. [ Area is 2511.25 \(cm^2\).]

Q2) Convert 0.61 rad to degrees? [ 35 °]

Q2) Calcuate the length of an arc of radius 195 mm and angle 6.54 radians. [ 1275.30 mm]

Q2) Calcuate the area of a sector of radius 150 mm and angle 4.89 radians. [ Area is 55012.50 \(mm^2\).]

Q3) Convert 30° to radians? [ 0.52 radians]

Q3) Calcuate the length of an arc of radius 355 cm and angle 0.52 radians. [ 184.60 cm]

Q3) Calcuate the area of a sector of radius 350 m and angle 4.01 radians. [ Area is 245612.50 \(m^2\).]

Q4) Convert 20° to radians? [ 0.35 radians]

Q4) Calcuate the length of an arc of radius 205 m and angle 7.85 radians. [ 1609.25 m]

Q4) Calcuate the area of a sector of radius 150 cm and angle 1.92 radians. [ Area is 21600.00 \(cm^2\).]

Q5) Convert 15° to radians? [ 0.26 radians]

Q5) Calcuate the length of an arc of radius 185 m and angle 6.72 radians. [ 1243.20 m]

Q5) Calcuate the area of a sector of radius 485 m and angle 8.03 radians. [ Area is 944428.38 \(m^2\).]

Q6) Convert 0.70 rad to degrees? [ 40 °]

Q6) Calcuate the length of an arc of radius 430 m and angle 7.68 radians. [ 3302.40 m]

Q6) Calcuate the area of a sector of radius 55 cm and angle 8.38 radians. [ Area is 12674.75 \(cm^2\).]

Q7) Convert 0.17 rad to degrees? [ 10 °]

Q7) Calcuate the length of an arc of radius 415 mm and angle 3.23 radians. [ 1340.45 mm]

Q7) Calcuate the area of a sector of radius 380 mm and angle 8.38 radians. [ Area is 605036.00 \(mm^2\).]

Q8) Convert 50° to radians? [ 0.87 radians]

Q8) Calcuate the length of an arc of radius 120 cm and angle 6.28 radians. [ 753.60 cm]

Q8) Calcuate the area of a sector of radius 310 cm and angle 6.63 radians. [ Area is 318571.50 \(cm^2\).]

Q9) Convert 0.52 rad to degrees? [ 30 °]

Q9) Calcuate the length of an arc of radius 130 m and angle 4.01 radians. [ 521.30 m]

Q9) Calcuate the area of a sector of radius 100 m and angle 8.20 radians. [ Area is 41000.00 \(m^2\).]

Q10) Convert 5° to radians? [ 0.09 radians]

Q10) Calcuate the length of an arc of radius 210 m and angle 1.13 radians. [ 237.30 m]

Q10) Calcuate the area of a sector of radius 440 m and angle 8.12 radians. [ Area is 786016.00 \(m^2\).]