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GB-26-05-001 · Arc length and sector perimeter

A sector has radius 32 cm and angle 237°. Give answers to 1 decimal place.
OAB32.0 cm237.0°
Diagram not accurately drawn

(a) Work out its arc length.

(b) Work out its perimeter.

Part (a) Arcs and Sectors: Arc Length & Perimeter Booklet p. 38
Method
1) Length of an arc = (θ / 360°) × 2πr
2) Sector perimeter = arc length + 2r
Worked Example (GB-26-05-001 · Part (a))
Work out its arc length.
1)
237360×2π×32\frac{237}{360}\times2\pi\times32
2)
132.4 cm
Ans = 132.4 cm
Part (b) Arcs and Sectors: Arc Length & Perimeter Booklet p. 38
Method
1) Length of an arc = (θ / 360°) × 2πr
2) Sector perimeter = arc length + 2r
Worked Example (GB-26-05-001 · Part (b))
Work out its perimeter.
1)
Add both radii to the unrounded arc length.
2)
196.4 cm
Ans = 196.4 cm