Arc length is (75/360) x 2 x (22/7) x 14 = (5/24) x 88 = 55/3 = 18.33 cm. Sector perimeter equals arc length plus two radii: 18.33 + 28 = 46.33 cm (or 46 and 1/3 cm).
Find the perimeter of a sector (i.e., the curved portion as well as the two straight portions) of a circle of radius 14 cm and sector angle 75°.
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Radius r = 14 cm, sector angle θ = 75°.
Curved arc length l = 2 x π x r x (θ / 360):
l = 2 x (22/7) x 14 x (75/360)
l = 88 x (5/24) = 55 / 3 cm = 18.33 cm.
A sector is enclosed by the curved arc and two straight boundary radii.
Total perimeter = l + 2r = (55/3) + 2 x 14 = 55/3 + 28 = (55 + 84) / 3 = 139 / 3 cm = 46.33 cm (or 46 1/3 cm).
For more NCERT Solutions of Class 9 Ganita Manjari Chapter 6 Measuring Space: Perimeter and Area Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-6/