In the adjoining figure, O is the centre of the sector. ∠ROQ = ∠MO

1.	In the adjoining figure, O is the centre of the sector. ∠ROQ = ∠MON = 60°. OR = 7 cm, and OM = 21 cm. Find the lengths of arc RXQ and (π = 22/7 )
Answer» Given: ∠ROQ = ∠MON = 60°, radius (r) = OR = 7 cm, radius (R) = OM = 21 cm To find: Lengths of arc RXQ and arc MYN. i. Length of arc RXQ = θ/360 x 2πr = 60/2 × 2 × 22/7 × 7 = 1/6 × 2 × 22 = 7.33 cm ii. Length of arc MYN = θ/360 x 2πR = 60/2 × 2 × 22/7 × 21 = 1/6 × 2 × 22 × 3 = 22 cm ∴ The lengths of arc RXQ and arc MYN are 7.33 cm and 22 cm respectively.

In the adjoining figure, O is the centre of the sector. ∠ROQ = ∠MON = 60°. OR = 7 cm, and OM = 21 cm. Find the lengths of arc RXQ and (π = 22/7 )

Answer»

Given: ∠ROQ = ∠MON = 60°,

radius (r) = OR = 7 cm, radius (R) = OM = 21 cm

To find: Lengths of arc RXQ and arc MYN.

i. Length of arc RXQ = θ/360 x 2πr

= 60/2 × 2 × 22/7 × 7

= 1/6 × 2 × 22

= 7.33 cm

ii. Length of arc MYN = θ/360 x 2πR

= 60/2 × 2 × 22/7 × 21

= 1/6 × 2 × 22 × 3

= 22 cm

∴ The lengths of arc RXQ and arc MYN are 7.33 cm and 22 cm respectively.