Mr Daniels Maths
Radians, Arc length and Area

Set 1

Set 2

Set 3

Q1) Convert 0.61 rad to degrees? [ 35 °]

Q1) Calcuate the length of an arc of radius 130 cm and angle 3.23 radians. [ 419.90 cm]

Q1) Calcuate the area of a sector of radius 135 mm and angle 3.49 radians. [ Area is 31802.63 \(mm^2\).]

Q2) Convert 0.52 rad to degrees? [ 30 °]

Q2) Calcuate the length of an arc of radius 380 mm and angle 8.73 radians. [ 3317.40 mm]

Q2) Calcuate the area of a sector of radius 170 mm and angle 7.33 radians. [ Area is 105918.50 \(mm^2\).]

Q3) Convert 5° to radians? [ 0.09 radians]

Q3) Calcuate the length of an arc of radius 25 mm and angle 6.63 radians. [ 165.75 mm]

Q3) Calcuate the area of a sector of radius 250 m and angle 4.89 radians. [ Area is 152812.50 \(m^2\).]

Q4) Convert 0.09 rad to degrees? [ 5 °]

Q4) Calcuate the length of an arc of radius 195 m and angle 2.44 radians. [ 475.80 m]

Q4) Calcuate the area of a sector of radius 465 cm and angle 4.80 radians. [ Area is 518940.00 \(cm^2\).]

Q5) Convert 25° to radians? [ 0.44 radians]

Q5) Calcuate the length of an arc of radius 440 cm and angle 6.20 radians. [ 2728.00 cm]

Q5) Calcuate the area of a sector of radius 390 mm and angle 6.98 radians. [ Area is 530829.00 \(mm^2\).]

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

Q6) Calcuate the length of an arc of radius 420 cm and angle 7.59 radians. [ 3187.80 cm]

Q6) Calcuate the area of a sector of radius 160 cm and angle 6.28 radians. [ Area is 80384.00 \(cm^2\).]

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

Q7) Calcuate the length of an arc of radius 65 mm and angle 7.07 radians. [ 459.55 mm]

Q7) Calcuate the area of a sector of radius 40 cm and angle 1.31 radians. [ Area is 1048.00 \(cm^2\).]

Q8) Convert 0.87 rad to degrees? [ 50 °]

Q8) Calcuate the length of an arc of radius 105 m and angle 3.14 radians. [ 329.70 m]

Q8) Calcuate the area of a sector of radius 120 m and angle 2.18 radians. [ Area is 15696.00 \(m^2\).]

Q9) Convert 50° to radians? [ 0.87 radians]

Q9) Calcuate the length of an arc of radius 145 mm and angle 2.71 radians. [ 392.95 mm]

Q9) Calcuate the area of a sector of radius 75 cm and angle 0.96 radians. [ Area is 2700.00 \(cm^2\).]

Q10) Convert 30° to radians? [ 0.52 radians]

Q10) Calcuate the length of an arc of radius 10 m and angle 4.10 radians. [ 41.00 m]

Q10) Calcuate the area of a sector of radius 55 mm and angle 1.83 radians. [ Area is 2767.88 \(mm^2\).]