Mr Daniels Maths
Radians, Arc length and Area

Set 1

Set 2

Set 3

Q1) Convert 20° to radians? [ 0.35 radians]

Q1) Calcuate the length of an arc of radius 150 m and angle 4.36 radians. [ 654.00 m]

Q1) Calcuate the area of a sector of radius 145 mm and angle 0.35 radians. [ Area is 3679.38 \(mm^2\).]

Q2) Convert 15° to radians? [ 0.26 radians]

Q2) Calcuate the length of an arc of radius 360 m and angle 5.15 radians. [ 1854.00 m]

Q2) Calcuate the area of a sector of radius 440 m and angle 7.94 radians. [ Area is 768592.00 \(m^2\).]

Q3) Convert 0.87 rad to degrees? [ 50 °]

Q3) Calcuate the length of an arc of radius 350 cm and angle 7.94 radians. [ 2779.00 cm]

Q3) Calcuate the area of a sector of radius 250 cm and angle 6.37 radians. [ Area is 199062.50 \(cm^2\).]

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

Q4) Calcuate the length of an arc of radius 340 cm and angle 6.89 radians. [ 2342.60 cm]

Q4) Calcuate the area of a sector of radius 390 mm and angle 2.44 radians. [ Area is 185562.00 \(mm^2\).]

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

Q5) Calcuate the length of an arc of radius 20 m and angle 7.07 radians. [ 141.40 m]

Q5) Calcuate the area of a sector of radius 130 m and angle 6.63 radians. [ Area is 56023.50 \(m^2\).]

Q6) Convert 30° to radians? [ 0.52 radians]

Q6) Calcuate the length of an arc of radius 35 cm and angle 3.49 radians. [ 122.15 cm]

Q6) Calcuate the area of a sector of radius 490 m and angle 3.23 radians. [ Area is 387761.50 \(m^2\).]

Q7) Convert 50° to radians? [ 0.87 radians]

Q7) Calcuate the length of an arc of radius 230 cm and angle 0.44 radians. [ 101.20 cm]

Q7) Calcuate the area of a sector of radius 25 cm and angle 2.88 radians. [ Area is 900.00 \(cm^2\).]

Q8) Convert 0.09 rad to degrees? [ 5 °]

Q8) Calcuate the length of an arc of radius 460 m and angle 5.50 radians. [ 2530.00 m]

Q8) Calcuate the area of a sector of radius 480 mm and angle 3.84 radians. [ Area is 442368.00 \(mm^2\).]

Q9) Convert 5° to radians? [ 0.09 radians]

Q9) Calcuate the length of an arc of radius 425 cm and angle 5.41 radians. [ 2299.25 cm]

Q9) Calcuate the area of a sector of radius 200 mm and angle 7.33 radians. [ Area is 146600.00 \(mm^2\).]

Q10) Convert 40° to radians? [ 0.70 radians]

Q10) Calcuate the length of an arc of radius 70 mm and angle 4.71 radians. [ 329.70 mm]

Q10) Calcuate the area of a sector of radius 5 mm and angle 8.29 radians. [ Area is 103.63 \(mm^2\).]