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The Circumference of a Circle Exceeds Its Diameter by 45 Cm. Find the Circumference of the Circle. - Mathematics

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प्रश्न

The circumference of a circle exceeds its diameter by 45 cm. Find the circumference of the circle.

योग

उत्तर

Let the radius of the circle be r.

Now,

Circumference = Diameter + 45

⇒ 2πr = 2r + 45

⇒ 2πr - 2r = 45

`⇒ 2"r" (22/7 - 1) = 45`

`=> 2"r"xx15/7 = 45`

⇒ r = 10.5 cm

∴ Circumference = Diameter + 45 = 2(10.5) + 45 = 66 cm
Hence, the circumference of the circle is 66 cm.

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अध्याय 18: Area of Circle, Sector and Segment - Exercise 18A [पृष्ठ ८३१]

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आरएस अग्रवाल Mathematics [English] Class 10
अध्याय 18 Area of Circle, Sector and Segment
Exercise 18A | Q 3 | पृष्ठ ८३१

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