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The measure of an arc of a circle is 80° and its radius is 18 cm. Find the length of the arc. (π = 3.14) - Geometry Mathematics 2

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प्रश्न

The measure of an arc of a circle is 80° and its radius is 18 cm. Find the length of the arc. (π = 3.14)

योग
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उत्तर

Radius of the arc (r) = 18 cm
Measure of the arc (θ) = 80º

Length of an arc (l) = `θ/360` × 2πr

∴ Length of an arc (l) = `80/360` × 2 × 3.14 × 18

∴ Length of an arc (l) = `80/360` × 36 × 3.14

∴ Length of an arc (l) = 8 × 3.14

∴ Length of an arc (l) = 25.12

Thus, the length of the arc is 25.12 cm.

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Notes

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अध्याय 7: Mensuration - Practice set 7.3 [पृष्ठ १५४]

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बालभारती Mathematics 2 [English] Standard 10 Maharashtra State Board
अध्याय 7 Mensuration
Practice set 7.3 | Q 2 | पृष्ठ १५४

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