Mr Daniels Maths
Radians, Arc length and Area

Set 1

Set 2

Set 3

Q1) Convert 0.70 rad to degrees? [ 40 °]

Q1) Calcuate the length of an arc of radius 120 mm and angle 8.38 radians. [ 1005.60 mm]

Q1) Calcuate the area of a sector of radius 20 mm and angle 2.79 radians. [ Area is 558.00 \(mm^2\).]

Q2) Convert 10° to radians? [ 0.17 radians]

Q2) Calcuate the length of an arc of radius 290 m and angle 5.93 radians. [ 1719.70 m]

Q2) Calcuate the area of a sector of radius 25 cm and angle 4.63 radians. [ Area is 1446.88 \(cm^2\).]

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

Q3) Calcuate the length of an arc of radius 175 mm and angle 5.59 radians. [ 978.25 mm]

Q3) Calcuate the area of a sector of radius 75 cm and angle 2.97 radians. [ Area is 8353.13 \(cm^2\).]

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

Q4) Calcuate the length of an arc of radius 95 mm and angle 7.33 radians. [ 696.35 mm]

Q4) Calcuate the area of a sector of radius 440 mm and angle 1.05 radians. [ Area is 101640.00 \(mm^2\).]

Q5) Convert 40° to radians? [ 0.70 radians]

Q5) Calcuate the length of an arc of radius 185 m and angle 2.36 radians. [ 436.60 m]

Q5) Calcuate the area of a sector of radius 200 m and angle 5.50 radians. [ Area is 110000.00 \(m^2\).]

Q6) Convert 0.17 rad to degrees? [ 10 °]

Q6) Calcuate the length of an arc of radius 280 m and angle 0.26 radians. [ 72.80 m]

Q6) Calcuate the area of a sector of radius 80 cm and angle 8.38 radians. [ Area is 26816.00 \(cm^2\).]

Q7) Convert 5° to radians? [ 0.09 radians]

Q7) Calcuate the length of an arc of radius 175 cm and angle 6.54 radians. [ 1144.50 cm]

Q7) Calcuate the area of a sector of radius 245 mm and angle 8.46 radians. [ Area is 253905.75 \(mm^2\).]

Q8) Convert 0.35 rad to degrees? [ 20 °]

Q8) Calcuate the length of an arc of radius 400 m and angle 5.15 radians. [ 2060.00 m]

Q8) Calcuate the area of a sector of radius 220 cm and angle 6.46 radians. [ Area is 156332.00 \(cm^2\).]

Q9) Convert 0.26 rad to degrees? [ 15 °]

Q9) Calcuate the length of an arc of radius 255 m and angle 2.62 radians. [ 668.10 m]

Q9) Calcuate the area of a sector of radius 130 cm and angle 4.54 radians. [ Area is 38363.00 \(cm^2\).]

Q10) Convert 25° to radians? [ 0.44 radians]

Q10) Calcuate the length of an arc of radius 375 mm and angle 0.35 radians. [ 131.25 mm]

Q10) Calcuate the area of a sector of radius 135 cm and angle 1.05 radians. [ Area is 9568.13 \(cm^2\).]