Math, asked by shivamnarayan74, 5 months ago

14. In a circle with diameter 28 cm. if an arc subtends an angle of 45° at the
centre, then find the length of the arc.
15. If the surface area of a sphere is 616 cm2. Find its diameter. 71 5$



solve both​

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Answered by spencer11
0

Answer:

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Step-by-step explanation:

14) The formula for arc length is

Arc length  =  2 π r × (x/360⁰)

Where  x  is the central angle measure (45⁰), π is 3.14 and  r  is the radius of the circle (14).

∴ Arc length = 2×3.14×14 ×(45/360)

       ⇒87.92 ×0.125

Arc length = 10.99 ≈ 11cm

15) Area of a sphere =πr² = 616cm²

∴ 22/7 × r²= 616 cm sq

r² = 616 × (7/22 )

r² = 196

r = ✓196

r = 14 cm

∴ Diameter of a sphere = 14 × 2

= 28cm

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