Mr Daniels Maths
Radians, Arc length and Area

Set 1

Set 2

Set 3

Q1) Convert 15° to radians? [ 0.26 radians]

Q1) Calcuate the length of an arc of radius 80 mm and angle 2.62 radians. [ 209.60 mm]

Q1) Calcuate the area of a sector of radius 130 cm and angle 1.57 radians. [ Area is 13266.50 \(cm^2\).]

Q2) Convert 50° to radians? [ 0.87 radians]

Q2) Calcuate the length of an arc of radius 55 mm and angle 3.40 radians. [ 187.00 mm]

Q2) Calcuate the area of a sector of radius 470 m and angle 3.58 radians. [ Area is 395411.00 \(m^2\).]

Q3) Convert 10° to radians? [ 0.17 radians]

Q3) Calcuate the length of an arc of radius 275 cm and angle 6.02 radians. [ 1655.50 cm]

Q3) Calcuate the area of a sector of radius 45 cm and angle 5.76 radians. [ Area is 5832.00 \(cm^2\).]

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

Q4) Calcuate the length of an arc of radius 200 m and angle 1.22 radians. [ 244.00 m]

Q4) Calcuate the area of a sector of radius 105 cm and angle 5.93 radians. [ Area is 32689.13 \(cm^2\).]

Q5) Convert 0.87 rad to degrees? [ 50 °]

Q5) Calcuate the length of an arc of radius 35 cm and angle 1.22 radians. [ 42.70 cm]

Q5) Calcuate the area of a sector of radius 455 m and angle 7.77 radians. [ Area is 804292.13 \(m^2\).]

Q6) Convert 45° to radians? [ 0.79 radians]

Q6) Calcuate the length of an arc of radius 270 mm and angle 8.29 radians. [ 2238.30 mm]

Q6) Calcuate the area of a sector of radius 450 cm and angle 1.13 radians. [ Area is 114412.50 \(cm^2\).]

Q7) Convert 0.35 rad to degrees? [ 20 °]

Q7) Calcuate the length of an arc of radius 430 cm and angle 7.85 radians. [ 3375.50 cm]

Q7) Calcuate the area of a sector of radius 10 mm and angle 0.17 radians. [ Area is 8.50 \(mm^2\).]

Q8) Convert 0.61 rad to degrees? [ 35 °]

Q8) Calcuate the length of an arc of radius 225 cm and angle 4.97 radians. [ 1118.25 cm]

Q8) Calcuate the area of a sector of radius 40 m and angle 8.55 radians. [ Area is 6840.00 \(m^2\).]

Q9) Convert 0.17 rad to degrees? [ 10 °]

Q9) Calcuate the length of an arc of radius 40 cm and angle 4.63 radians. [ 185.20 cm]

Q9) Calcuate the area of a sector of radius 440 cm and angle 4.45 radians. [ Area is 430760.00 \(cm^2\).]

Q10) Convert 0.79 rad to degrees? [ 45 °]

Q10) Calcuate the length of an arc of radius 485 mm and angle 8.29 radians. [ 4020.65 mm]

Q10) Calcuate the area of a sector of radius 65 m and angle 1.40 radians. [ Area is 2957.50 \(m^2\).]