{"id":1306,"date":"2023-03-06T09:00:39","date_gmt":"2023-03-06T03:30:39","guid":{"rendered":"https:\/\/www.aplustopper.com\/?p=1306"},"modified":"2023-03-06T09:56:57","modified_gmt":"2023-03-06T04:26:57","slug":"perimeter-of-a-circle","status":"publish","type":"post","link":"https:\/\/www.aplustopper.com\/perimeter-of-a-circle\/","title":{"rendered":"How To Calculate The Perimeter Of A Circle"},"content":{"rendered":"

Perimeter Of A Circle<\/strong><\/h2>\n

Circumference of a Circle<\/h3>\n

Circumference means, \u2018the perimeter of a circle\u2019. The word has been derived from the Latin word circumferre means to carry around.
\nThe distance around a circular region is also known as its circumference.
\n\"How
\nNote:<\/strong><\/p>\n

    \n
  1. The ratio of circumference to diameter is approximately the same around 3.142.
    \ni.e. The circumference of a circle is slightly more than 3 times its diameter.
    \n\"How
    \nThus, we haveThe constant ratio of circumference to diameter, i.e., 3.142 is denoted by Greek letter \u03c0, read as pi (\u03c0).<\/li>\n
  2. For calculation purposes, the value of \\(\\frac { 22 }{ 7 }\\) is taken as or 3.14 approx.
    \n\u2234 C = \u03c0 \u00d7 d \u21d2 C = \u03c0 \u00d7 2r
    \n\u21d2 C = 2\u03c0r, where r is the radius of the circle.
    \ni.e., Circumference of the Circle = 2 \u00d7 radius of the circle \u00d7 \u03c0
    \nor Circumference of the Circle = diameter of the circle \u00d7 \u03c0<\/li>\n
  3. Circumference of a semi-circle = \\(\\frac { 2\\pi r }{ 2 }\\) = \u03c0r and the perimeter of a semi-circular shape = (\u03c0 + 2) r units.<\/li>\n<\/ol>\n

    Perimeter Of A Circle With Examples<\/strong><\/h3>\n

    Example 1:\u00a0<\/strong>If the perimeter of a semi-circular protractor is 66 cm, find the diameter of the protractor (Take \u03c0 = 22\/7).
    \nSolution: <\/strong>Let the radius of the protractor be r cm. Then,
    \nPerimeter = 66 cm
    \n\u21d2 1\/2(2 \u03c0r) = 66 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \\(\\left[ \\text{Perimeter}\\text{of}\\text{semi-circle}\\text{=}\\frac{\\text{1}}{\\text{2}}\\text{(2 }\\!\\!\\pi\\!\\!\\text{ r)} \\right]\\)
    \n\u21d2 \u03c0r = 66
    \n\u21d2 \\(\\frac { 22 }{ 7 }\\)\u00a0\u00d7 r = 66
    \n\u21d2 r = 21 cm
    \n\u2234 Diameter of the protractor = 2r = (2 \u00d7 21) cm
    \n= 42 cm<\/p>\n

    Read More:<\/strong><\/p>\n