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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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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