Mr Daniels Maths
Radians, Arc length and Area

Set 1

Set 2

Set 3

Q1) Convert 50° to radians? [ 0.87 radians]

Q1) Calcuate the length of an arc of radius 305 mm and angle 0.61 radians. [ 186.05 mm]

Q1) Calcuate the area of a sector of radius 245 mm and angle 7.94 radians. [ Area is 238299.25 \(mm^2\).]

Q2) Convert 0.26 rad to degrees? [ 15 °]

Q2) Calcuate the length of an arc of radius 440 m and angle 3.58 radians. [ 1575.20 m]

Q2) Calcuate the area of a sector of radius 375 mm and angle 2.97 radians. [ Area is 208828.13 \(mm^2\).]

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

Q3) Calcuate the length of an arc of radius 20 mm and angle 1.83 radians. [ 36.60 mm]

Q3) Calcuate the area of a sector of radius 220 mm and angle 8.29 radians. [ Area is 200618.00 \(mm^2\).]

Q4) Convert 35° to radians? [ 0.61 radians]

Q4) Calcuate the length of an arc of radius 450 cm and angle 8.55 radians. [ 3847.50 cm]

Q4) Calcuate the area of a sector of radius 95 mm and angle 2.97 radians. [ Area is 13402.13 \(mm^2\).]

Q5) Convert 0.35 rad to degrees? [ 20 °]

Q5) Calcuate the length of an arc of radius 50 m and angle 7.07 radians. [ 353.50 m]

Q5) Calcuate the area of a sector of radius 160 m and angle 4.45 radians. [ Area is 56960.00 \(m^2\).]

Q6) Convert 40° to radians? [ 0.70 radians]

Q6) Calcuate the length of an arc of radius 335 cm and angle 3.14 radians. [ 1051.90 cm]

Q6) Calcuate the area of a sector of radius 375 mm and angle 1.48 radians. [ Area is 104062.50 \(mm^2\).]

Q7) Convert 30° to radians? [ 0.52 radians]

Q7) Calcuate the length of an arc of radius 340 m and angle 4.28 radians. [ 1455.20 m]

Q7) Calcuate the area of a sector of radius 225 m and angle 3.58 radians. [ Area is 90618.75 \(m^2\).]

Q8) Convert 0.52 rad to degrees? [ 30 °]

Q8) Calcuate the length of an arc of radius 155 mm and angle 2.97 radians. [ 460.35 mm]

Q8) Calcuate the area of a sector of radius 355 cm and angle 0.44 radians. [ Area is 27725.50 \(cm^2\).]

Q9) Convert 5° to radians? [ 0.09 radians]

Q9) Calcuate the length of an arc of radius 200 mm and angle 0.35 radians. [ 70.00 mm]

Q9) Calcuate the area of a sector of radius 240 m and angle 0.52 radians. [ Area is 14976.00 \(m^2\).]

Q10) Convert 0.09 rad to degrees? [ 5 °]

Q10) Calcuate the length of an arc of radius 95 cm and angle 1.22 radians. [ 115.90 cm]

Q10) Calcuate the area of a sector of radius 485 mm and angle 0.26 radians. [ Area is 30579.25 \(mm^2\).]