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 315 cm and angle 2.36 radians. [ 743.40 cm]

Q1) Calcuate the area of a sector of radius 165 cm and angle 4.89 radians. [ Area is 66565.13 \(cm^2\).]

Q2) Convert 45° to radians? [ 0.79 radians]

Q2) Calcuate the length of an arc of radius 25 m and angle 3.67 radians. [ 91.75 m]

Q2) Calcuate the area of a sector of radius 10 m and angle 4.80 radians. [ Area is 240.00 \(m^2\).]

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

Q3) Calcuate the length of an arc of radius 100 m and angle 0.87 radians. [ 87.00 m]

Q3) Calcuate the area of a sector of radius 305 m and angle 1.66 radians. [ Area is 77210.75 \(m^2\).]

Q4) Convert 0.87 rad to degrees? [ 50 °]

Q4) Calcuate the length of an arc of radius 280 cm and angle 1.83 radians. [ 512.40 cm]

Q4) Calcuate the area of a sector of radius 15 m and angle 4.97 radians. [ Area is 559.13 \(m^2\).]

Q5) Convert 0.79 rad to degrees? [ 45 °]

Q5) Calcuate the length of an arc of radius 135 mm and angle 3.14 radians. [ 423.90 mm]

Q5) Calcuate the area of a sector of radius 75 cm and angle 1.31 radians. [ Area is 3684.38 \(cm^2\).]

Q6) Convert 0.35 rad to degrees? [ 20 °]

Q6) Calcuate the length of an arc of radius 290 mm and angle 2.88 radians. [ 835.20 mm]

Q6) Calcuate the area of a sector of radius 145 mm and angle 1.75 radians. [ Area is 18396.88 \(mm^2\).]

Q7) Convert 20° to radians? [ 0.35 radians]

Q7) Calcuate the length of an arc of radius 60 cm and angle 1.57 radians. [ 94.20 cm]

Q7) Calcuate the area of a sector of radius 320 mm and angle 2.44 radians. [ Area is 124928.00 \(mm^2\).]

Q8) Convert 35° to radians? [ 0.61 radians]

Q8) Calcuate the length of an arc of radius 395 mm and angle 6.46 radians. [ 2551.70 mm]

Q8) Calcuate the area of a sector of radius 240 mm and angle 5.93 radians. [ Area is 170784.00 \(mm^2\).]

Q9) Convert 30° to radians? [ 0.52 radians]

Q9) Calcuate the length of an arc of radius 295 mm and angle 5.76 radians. [ 1699.20 mm]

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

Q10) Convert 0.70 rad to degrees? [ 40 °]

Q10) Calcuate the length of an arc of radius 400 cm and angle 2.44 radians. [ 976.00 cm]

Q10) Calcuate the area of a sector of radius 365 mm and angle 4.89 radians. [ Area is 325735.13 \(mm^2\).]