The circumference of a circle exceeds diameter by 16.8 cm. Find the circumference of Let radius of circle = r cms Diameter(d) = 2 × 𝑟𝑎𝑑𝑖𝑢𝑠 = 2𝑟 Circumference (c) = 2𝜋r Given circumference exceeds diameter by 16.8cm C = d + 16.8 ⇒ 2𝜋r = 2r + 16.8 ⇒ 2r(𝜋 – 1)= 16.8 ⇒ 2r ×`(22/7− 1)`= 16.8 ⇒ 2r ×`15/7`= 16.8 ⇒ r =`(16.8×7)/30 = 5.6 × 0.7` ⇒ r = 3.92 cms Circumference = 2𝜋r`= 2 × 22/7 × 3.92` `= 2464/100 = 24.64` 𝑐𝑚𝑠 Concept: Circumference of a Circle Is there an error in this question or solution? |