Mr Daniels Maths
Radians, Arc length and Area

Set 1

Set 2

Set 3

Q1) Convert 0.52 rad to degrees? [ 30 °]

Q1) Calcuate the length of an arc of radius 90 mm and angle 0.96 radians. [ 86.40 mm]

Q1) Calcuate the area of a sector of radius 200 cm and angle 5.41 radians. [ Area is 108200.00 \(cm^2\).]

Q2) Convert 35° to radians? [ 0.61 radians]

Q2) Calcuate the length of an arc of radius 465 mm and angle 0.70 radians. [ 325.50 mm]

Q2) Calcuate the area of a sector of radius 105 m and angle 7.16 radians. [ Area is 39469.50 \(m^2\).]

Q3) Convert 15° to radians? [ 0.26 radians]

Q3) Calcuate the length of an arc of radius 460 m and angle 5.24 radians. [ 2410.40 m]

Q3) Calcuate the area of a sector of radius 40 cm and angle 2.44 radians. [ Area is 1952.00 \(cm^2\).]

Q4) Convert 30° to radians? [ 0.52 radians]

Q4) Calcuate the length of an arc of radius 470 cm and angle 8.46 radians. [ 3976.20 cm]

Q4) Calcuate the area of a sector of radius 100 m and angle 3.14 radians. [ Area is 15700.00 \(m^2\).]

Q5) Convert 45° to radians? [ 0.79 radians]

Q5) Calcuate the length of an arc of radius 355 mm and angle 2.09 radians. [ 741.95 mm]

Q5) Calcuate the area of a sector of radius 55 cm and angle 4.10 radians. [ Area is 6201.25 \(cm^2\).]

Q6) Convert 0.44 rad to degrees? [ 25 °]

Q6) Calcuate the length of an arc of radius 65 cm and angle 3.23 radians. [ 209.95 cm]

Q6) Calcuate the area of a sector of radius 35 m and angle 8.55 radians. [ Area is 5236.88 \(m^2\).]

Q7) Convert 0.17 rad to degrees? [ 10 °]

Q7) Calcuate the length of an arc of radius 385 mm and angle 7.68 radians. [ 2956.80 mm]

Q7) Calcuate the area of a sector of radius 15 mm and angle 2.36 radians. [ Area is 265.50 \(mm^2\).]

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

Q8) Calcuate the length of an arc of radius 445 cm and angle 2.53 radians. [ 1125.85 cm]

Q8) Calcuate the area of a sector of radius 330 cm and angle 6.63 radians. [ Area is 361003.50 \(cm^2\).]

Q9) Convert 0.70 rad to degrees? [ 40 °]

Q9) Calcuate the length of an arc of radius 410 m and angle 0.35 radians. [ 143.50 m]

Q9) Calcuate the area of a sector of radius 415 m and angle 6.89 radians. [ Area is 593315.13 \(m^2\).]

Q10) Convert 0.26 rad to degrees? [ 15 °]

Q10) Calcuate the length of an arc of radius 265 mm and angle 3.32 radians. [ 879.80 mm]

Q10) Calcuate the area of a sector of radius 170 mm and angle 1.66 radians. [ Area is 23987.00 \(mm^2\).]