Mr Daniels Maths
Radians, Arc length and Area

Set 1

Set 2

Set 3

Q1) Convert 0.44 rad to degrees? [ 25 °]

Q1) Calcuate the length of an arc of radius 70 cm and angle 1.40 radians. [ 98.00 cm]

Q1) Calcuate the area of a sector of radius 40 mm and angle 0.26 radians. [ Area is 208.00 \(mm^2\).]

Q2) Convert 45° to radians? [ 0.79 radians]

Q2) Calcuate the length of an arc of radius 250 cm and angle 4.36 radians. [ 1090.00 cm]

Q2) Calcuate the area of a sector of radius 250 cm and angle 5.41 radians. [ Area is 169062.50 \(cm^2\).]

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

Q3) Calcuate the length of an arc of radius 300 mm and angle 3.58 radians. [ 1074.00 mm]

Q3) Calcuate the area of a sector of radius 225 mm and angle 1.83 radians. [ Area is 46321.88 \(mm^2\).]

Q4) Convert 0.79 rad to degrees? [ 45 °]

Q4) Calcuate the length of an arc of radius 140 m and angle 3.23 radians. [ 452.20 m]

Q4) Calcuate the area of a sector of radius 240 cm and angle 3.23 radians. [ Area is 93024.00 \(cm^2\).]

Q5) Convert 35° to radians? [ 0.61 radians]

Q5) Calcuate the length of an arc of radius 420 cm and angle 6.37 radians. [ 2675.40 cm]

Q5) Calcuate the area of a sector of radius 315 cm and angle 4.19 radians. [ Area is 207876.38 \(cm^2\).]

Q6) Convert 0.70 rad to degrees? [ 40 °]

Q6) Calcuate the length of an arc of radius 430 m and angle 4.01 radians. [ 1724.30 m]

Q6) Calcuate the area of a sector of radius 65 mm and angle 8.46 radians. [ Area is 17871.75 \(mm^2\).]

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

Q7) Calcuate the length of an arc of radius 45 mm and angle 1.57 radians. [ 70.65 mm]

Q7) Calcuate the area of a sector of radius 70 mm and angle 4.19 radians. [ Area is 10265.50 \(mm^2\).]

Q8) Convert 0.26 rad to degrees? [ 15 °]

Q8) Calcuate the length of an arc of radius 35 m and angle 3.32 radians. [ 116.20 m]

Q8) Calcuate the area of a sector of radius 355 m and angle 0.52 radians. [ Area is 32766.50 \(m^2\).]

Q9) Convert 0.09 rad to degrees? [ 5 °]

Q9) Calcuate the length of an arc of radius 425 m and angle 3.84 radians. [ 1632.00 m]

Q9) Calcuate the area of a sector of radius 205 m and angle 6.81 radians. [ Area is 143095.13 \(m^2\).]

Q10) Convert 50° to radians? [ 0.87 radians]

Q10) Calcuate the length of an arc of radius 55 m and angle 0.70 radians. [ 38.50 m]

Q10) Calcuate the area of a sector of radius 315 m and angle 7.68 radians. [ Area is 381024.00 \(m^2\).]