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 260 m and angle 8.20 radians. [ 2132.00 m]

Q1) Calcuate the area of a sector of radius 260 mm and angle 2.01 radians. [ Area is 67938.00 \(mm^2\).]

Q2) Convert 40° to radians? [ 0.70 radians]

Q2) Calcuate the length of an arc of radius 255 cm and angle 7.33 radians. [ 1869.15 cm]

Q2) Calcuate the area of a sector of radius 135 m and angle 2.27 radians. [ Area is 20685.38 \(m^2\).]

Q3) Convert 20° to radians? [ 0.35 radians]

Q3) Calcuate the length of an arc of radius 475 mm and angle 0.26 radians. [ 123.50 mm]

Q3) Calcuate the area of a sector of radius 305 cm and angle 2.79 radians. [ Area is 129769.88 \(cm^2\).]

Q4) Convert 30° to radians? [ 0.52 radians]

Q4) Calcuate the length of an arc of radius 490 cm and angle 5.32 radians. [ 2606.80 cm]

Q4) Calcuate the area of a sector of radius 85 mm and angle 5.15 radians. [ Area is 18604.38 \(mm^2\).]

Q5) Convert 10° to radians? [ 0.17 radians]

Q5) Calcuate the length of an arc of radius 415 cm and angle 5.59 radians. [ 2319.85 cm]

Q5) Calcuate the area of a sector of radius 390 m and angle 7.68 radians. [ Area is 584064.00 \(m^2\).]

Q6) Convert 0.09 rad to degrees? [ 5 °]

Q6) Calcuate the length of an arc of radius 235 mm and angle 4.10 radians. [ 963.50 mm]

Q6) Calcuate the area of a sector of radius 470 cm and angle 2.53 radians. [ Area is 279438.50 \(cm^2\).]

Q7) Convert 35° to radians? [ 0.61 radians]

Q7) Calcuate the length of an arc of radius 460 m and angle 8.20 radians. [ 3772.00 m]

Q7) Calcuate the area of a sector of radius 225 mm and angle 6.02 radians. [ Area is 152381.25 \(mm^2\).]

Q8) Convert 25° to radians? [ 0.44 radians]

Q8) Calcuate the length of an arc of radius 295 mm and angle 7.59 radians. [ 2239.05 mm]

Q8) Calcuate the area of a sector of radius 465 m and angle 3.75 radians. [ Area is 405421.88 \(m^2\).]

Q9) Convert 15° to radians? [ 0.26 radians]

Q9) Calcuate the length of an arc of radius 460 cm and angle 5.50 radians. [ 2530.00 cm]

Q9) Calcuate the area of a sector of radius 135 m and angle 6.28 radians. [ Area is 57226.50 \(m^2\).]

Q10) Convert 45° to radians? [ 0.79 radians]

Q10) Calcuate the length of an arc of radius 10 m and angle 6.81 radians. [ 68.10 m]

Q10) Calcuate the area of a sector of radius 115 cm and angle 4.54 radians. [ Area is 30020.75 \(cm^2\).]