Mr Daniels Maths
Radians, Arc length and Area

Set 1

Set 2

Set 3

Q1) Convert 0.09 rad to degrees? [ 5 °]

Q1) Calcuate the length of an arc of radius 175 mm and angle 0.61 radians. [ 106.75 mm]

Q1) Calcuate the area of a sector of radius 195 m and angle 4.19 radians. [ Area is 79662.38 \(m^2\).]

Q2) Convert 25° to radians? [ 0.44 radians]

Q2) Calcuate the length of an arc of radius 110 mm and angle 0.26 radians. [ 28.60 mm]

Q2) Calcuate the area of a sector of radius 145 m and angle 8.55 radians. [ Area is 89881.88 \(m^2\).]

Q3) Convert 45° to radians? [ 0.79 radians]

Q3) Calcuate the length of an arc of radius 195 cm and angle 1.92 radians. [ 374.40 cm]

Q3) Calcuate the area of a sector of radius 360 mm and angle 2.79 radians. [ Area is 180792.00 \(mm^2\).]

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

Q4) Calcuate the length of an arc of radius 360 m and angle 0.61 radians. [ 219.60 m]

Q4) Calcuate the area of a sector of radius 465 m and angle 8.73 radians. [ Area is 943822.13 \(m^2\).]

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

Q5) Calcuate the length of an arc of radius 125 m and angle 6.11 radians. [ 763.75 m]

Q5) Calcuate the area of a sector of radius 185 m and angle 5.32 radians. [ Area is 91038.50 \(m^2\).]

Q6) Convert 35° to radians? [ 0.61 radians]

Q6) Calcuate the length of an arc of radius 250 cm and angle 7.07 radians. [ 1767.50 cm]

Q6) Calcuate the area of a sector of radius 295 m and angle 3.93 radians. [ Area is 171004.13 \(m^2\).]

Q7) Convert 0.44 rad to degrees? [ 25 °]

Q7) Calcuate the length of an arc of radius 315 cm and angle 3.05 radians. [ 960.75 cm]

Q7) Calcuate the area of a sector of radius 485 mm and angle 5.85 radians. [ Area is 688033.13 \(mm^2\).]

Q8) Convert 5° to radians? [ 0.09 radians]

Q8) Calcuate the length of an arc of radius 305 m and angle 4.19 radians. [ 1277.95 m]

Q8) Calcuate the area of a sector of radius 135 mm and angle 7.68 radians. [ Area is 69984.00 \(mm^2\).]

Q9) Convert 40° to radians? [ 0.70 radians]

Q9) Calcuate the length of an arc of radius 75 cm and angle 2.62 radians. [ 196.50 cm]

Q9) Calcuate the area of a sector of radius 115 cm and angle 2.18 radians. [ Area is 14415.25 \(cm^2\).]

Q10) Convert 0.35 rad to degrees? [ 20 °]

Q10) Calcuate the length of an arc of radius 230 m and angle 6.81 radians. [ 1566.30 m]

Q10) Calcuate the area of a sector of radius 365 mm and angle 6.20 radians. [ Area is 412997.50 \(mm^2\).]