Mr Daniels Maths
Radians, Arc length and Area

Set 1

Set 2

Set 3

Q1) Convert 45° to radians? [ 0.79 radians]

Q1) Calcuate the length of an arc of radius 180 m and angle 5.15 radians. [ 927.00 m]

Q1) Calcuate the area of a sector of radius 5 cm and angle 7.16 radians. [ Area is 89.50 \(cm^2\).]

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

Q2) Calcuate the length of an arc of radius 410 mm and angle 1.57 radians. [ 643.70 mm]

Q2) Calcuate the area of a sector of radius 395 m and angle 3.49 radians. [ Area is 272263.63 \(m^2\).]

Q3) Convert 25° to radians? [ 0.44 radians]

Q3) Calcuate the length of an arc of radius 460 m and angle 0.87 radians. [ 400.20 m]

Q3) Calcuate the area of a sector of radius 25 cm and angle 5.41 radians. [ Area is 1690.63 \(cm^2\).]

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

Q4) Calcuate the length of an arc of radius 115 cm and angle 7.59 radians. [ 872.85 cm]

Q4) Calcuate the area of a sector of radius 255 cm and angle 4.54 radians. [ Area is 147606.75 \(cm^2\).]

Q5) Convert 0.26 rad to degrees? [ 15 °]

Q5) Calcuate the length of an arc of radius 60 cm and angle 3.40 radians. [ 204.00 cm]

Q5) Calcuate the area of a sector of radius 380 cm and angle 3.40 radians. [ Area is 245480.00 \(cm^2\).]

Q6) Convert 30° to radians? [ 0.52 radians]

Q6) Calcuate the length of an arc of radius 275 m and angle 0.87 radians. [ 239.25 m]

Q6) Calcuate the area of a sector of radius 445 mm and angle 5.67 radians. [ Area is 561400.88 \(mm^2\).]

Q7) Convert 0.70 rad to degrees? [ 40 °]

Q7) Calcuate the length of an arc of radius 250 cm and angle 3.23 radians. [ 807.50 cm]

Q7) Calcuate the area of a sector of radius 430 m and angle 8.29 radians. [ Area is 766410.50 \(m^2\).]

Q8) Convert 0.17 rad to degrees? [ 10 °]

Q8) Calcuate the length of an arc of radius 70 m and angle 8.20 radians. [ 574.00 m]

Q8) Calcuate the area of a sector of radius 115 cm and angle 7.59 radians. [ Area is 50188.88 \(cm^2\).]

Q9) Convert 0.35 rad to degrees? [ 20 °]

Q9) Calcuate the length of an arc of radius 25 cm and angle 2.97 radians. [ 74.25 cm]

Q9) Calcuate the area of a sector of radius 495 mm and angle 1.22 radians. [ Area is 149465.25 \(mm^2\).]

Q10) Convert 0.87 rad to degrees? [ 50 °]

Q10) Calcuate the length of an arc of radius 125 cm and angle 5.32 radians. [ 665.00 cm]

Q10) Calcuate the area of a sector of radius 150 m and angle 5.50 radians. [ Area is 61875.00 \(m^2\).]