Question:

In figure 7.33 O is the centre of the sector. ROQ = MON = 60°. OR = 7 cm, and OM = 21 cm. Find the lengths of arc RXQ and arc MYN. ( = 22/7 )

Answer:

Given ROQ = MON ,= 60°.
Radius OR, r = 7 cm
Radius OM, R = 21 cm
Length of arc RXQ = (/360)2r
= (60/360)×2×(22/7)×7
= (1/6)× 2×22
= 22/3
= 7.33cm
Hence Length of arc RXQ is 7.33cm.
Length of arc MYN = (/360)2R
= (60/360)×2×(22/7)×21
= (1/6)× 2×22×3
= 22cm
Hence Length of arc MYN is 22cm.

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In figure 7.33 O is the centre of the sector. ROQ = MON = 60°. OR = 7 cm, and OM = 21 cm. Find the lengths of arc RXQ and arc MYN. ( = 22/7 )

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