Mr Daniels Maths
Radians, Arc length and Area

Set 1

Set 2

Set 3

Q1) Convert 0.79 rad to degrees? [ 45 °]

Q1) Calcuate the length of an arc of radius 95 cm and angle 7.24 radians. [ 687.80 cm]

Q1) Calcuate the area of a sector of radius 25 m and angle 2.97 radians. [ Area is 928.13 \(m^2\).]

Q2) Convert 0.61 rad to degrees? [ 35 °]

Q2) Calcuate the length of an arc of radius 305 cm and angle 6.54 radians. [ 1994.70 cm]

Q2) Calcuate the area of a sector of radius 500 cm and angle 5.24 radians. [ Area is 655000.00 \(cm^2\).]

Q3) Convert 50° to radians? [ 0.87 radians]

Q3) Calcuate the length of an arc of radius 260 mm and angle 7.07 radians. [ 1838.20 mm]

Q3) Calcuate the area of a sector of radius 60 m and angle 4.45 radians. [ Area is 8010.00 \(m^2\).]

Q4) Convert 15° to radians? [ 0.26 radians]

Q4) Calcuate the length of an arc of radius 180 m and angle 3.32 radians. [ 597.60 m]

Q4) Calcuate the area of a sector of radius 135 mm and angle 3.23 radians. [ Area is 29433.38 \(mm^2\).]

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

Q5) Calcuate the length of an arc of radius 270 m and angle 5.41 radians. [ 1460.70 m]

Q5) Calcuate the area of a sector of radius 360 m and angle 8.73 radians. [ Area is 565704.00 \(m^2\).]

Q6) Convert 20° to radians? [ 0.35 radians]

Q6) Calcuate the length of an arc of radius 475 cm and angle 6.02 radians. [ 2859.50 cm]

Q6) Calcuate the area of a sector of radius 55 mm and angle 4.10 radians. [ Area is 6201.25 \(mm^2\).]

Q7) Convert 0.52 rad to degrees? [ 30 °]

Q7) Calcuate the length of an arc of radius 260 cm and angle 6.63 radians. [ 1723.80 cm]

Q7) Calcuate the area of a sector of radius 210 cm and angle 0.52 radians. [ Area is 11466.00 \(cm^2\).]

Q8) Convert 25° to radians? [ 0.44 radians]

Q8) Calcuate the length of an arc of radius 230 cm and angle 4.97 radians. [ 1143.10 cm]

Q8) Calcuate the area of a sector of radius 205 m and angle 8.38 radians. [ Area is 176084.75 \(m^2\).]

Q9) Convert 35° to radians? [ 0.61 radians]

Q9) Calcuate the length of an arc of radius 150 cm and angle 1.31 radians. [ 196.50 cm]

Q9) Calcuate the area of a sector of radius 415 cm and angle 0.44 radians. [ Area is 37889.50 \(cm^2\).]

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

Q10) Calcuate the length of an arc of radius 420 cm and angle 1.13 radians. [ 474.60 cm]

Q10) Calcuate the area of a sector of radius 420 m and angle 1.66 radians. [ Area is 146412.00 \(m^2\).]