Maths-
General
Easy
Question
Diameter of a circle is 21 cm. Calculate its circumference.
Hint:
Use formula directly
The correct answer is: 66 cm
It is given that Diameter of the circle = 21 cm
Radius =![fraction numerator text diameter end text over denominator 2 end fraction](data:image/png;base64,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)
=
cm
Circumference of circle = 2
r
= 2 ×
× ![21 over 2](data:image/png;base64,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)
= 66 cm
Related Questions to study
Maths-
The circumference of the given circle is _____.
![](data:image/png;base64,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)
The circumference of the given circle is _____.
![](data:image/png;base64,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)
Maths-General
Maths-
Find the perimeter of a semicircle of radius 28 cm.
Find the perimeter of a semicircle of radius 28 cm.
Maths-General
Maths-
What is the circumference of a circular disc of radius 14 cm?
What is the circumference of a circular disc of radius 14 cm?
Maths-General
Maths-
The circumference of a circular piece of plot is 440 m. Find its area.
The circumference of a circular piece of plot is 440 m. Find its area.
Maths-General
Maths-
Find the area of a circle of radius 21 m.
Find the area of a circle of radius 21 m.
Maths-General
Maths-
Find the circumference and area of the circle with radius 14 cm.
Find the circumference and area of the circle with radius 14 cm.
Maths-General
Maths-
𝑉𝑒𝑟𝑖𝑓𝑦 ![open parentheses fraction numerator negative 7 over denominator 11 end fraction plus fraction numerator 2 over denominator negative 5 end fraction close parentheses plus fraction numerator negative 13 over denominator 22 end fraction equals fraction numerator negative 7 over denominator 11 end fraction plus open parentheses fraction numerator 2 over denominator negative 5 end fraction plus fraction numerator negative 13 over denominator 22 end fraction close parentheses](data:image/png;base64,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)
𝑉𝑒𝑟𝑖𝑓𝑦 ![open parentheses fraction numerator negative 7 over denominator 11 end fraction plus fraction numerator 2 over denominator negative 5 end fraction close parentheses plus fraction numerator negative 13 over denominator 22 end fraction equals fraction numerator negative 7 over denominator 11 end fraction plus open parentheses fraction numerator 2 over denominator negative 5 end fraction plus fraction numerator negative 13 over denominator 22 end fraction close parentheses](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAT8AAAAmCAYAAACyCJxMAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAY00gKyAAABTdJREFUeNrtXc+HVXEU/xojGW+TjCSJJEkSaZExMpuMtEi0SJJERqukTZKkfyBJmyRJIkkyRrskLdplFkmkVYtExkiexOsc7ywmd+a9733fH/ec+/18+Cya3rvuPd/P59zv99x3v8e51XGBeMcBIbgtcQQA+MuID6eJH4jjEU+gN4RaMEV8Rlwm/pE4nBrxWBy/ReIhIyLZSbwm17waZogLxN/ELvEz8RZxo5Hr06LBEH/F1GcpGvT24QTxK3Ffpos9QbynKPhviCeJHfn3buI7+dso2CPx7BgQ3iPi+QGJ4DXxOHHdir+xTl4ZN1xODYb6K7Y+S9Gglw9vEu9mutBNxLfE9coHZJvcOUKm3TcNCbDuLGjZsNlyazCFv0L1WYoGB/pwkrhE3JLpAl9mnGGGohvw3c0yOJMtFN524ifDJsupwZT+6rp2IYUGB/rwqkw7c2BO1vYWcFCWFiG4b+h6fYTHM6azrl9zOWLUYLk1mMpfMfRZigbX9OFH1y/G5lhGvndxH6ikwno516nA40wZmiH1hvzfSl40aq4mNJjCX7H0WYoGV/UhP2X5UfPkRn16xkXbGQMDsIH4gng40vG+E3dlEk7Ik82eZ2yOifEONWgQKxqs668m9FmKBis+5Onj4wxB4SdrCwYS33YR1o6Ix3wscW5TvaUj4rOEJjQY218p9FmKBis+fCg1kJQYkymn9occfFfgnz5MRD7uOYlzm4THsFRsb0qDMf2VSp+laLDiw3mXvnB9TJYbmsFF1KcuTS1o1sist47w9rp+wdkKmtJgLH+l1GcpGqz4kOsRqX+K8cTAsm/epavLdVz8uk9O4b2RJeO4zKC4ZsY/HD1jyFRNaTCWv1LqsxQNVnz4Ww6WElxo3GAg6KlefxqTOFu69pWYFvN1hfxr+6PGTNWUBmP5y8Iroto1WPFhW4KnHX8QgiIBfyn2YQ+CUnXOMAvGE/7KdG0YHJgFwHgi+WFwYJaE129lezMkPyQ/DA7MAiD5lZv8ehmZYtag4fwHxdnKtcWIQcpZo1YNwl+6NIiZH2YKWPZiPDHzw+DALADGE8kPgwOzAEh+SH4YHJgFQPJD8gMgKADj3q7x+BtwoGHt5up+TmuwYhTom3y9zbftocX2iNo1+NeIPkvR4H8+DHnxeli7ubqfa+ude9w1u7GBb9tDi+0RtWsw9cYhVjylQYMVH35z4btdoP4xGNxYWduWVr5tD620R9SqwRj+auuyOrcGKz7kbWJmkfySnjNvZqlxM9Nu5M8h+VURw19tTX65NVjx4QMXvskjkt9gnJc4a4Jv20Mr7RG1ajCGv9qa/HJrsOLD0y68p2jbkx8XSZflrnFpRT3CF9p2svZte2ipPaJWDcbwV2p9lqLBig/5Kdj3gpLfqK9ZcbF0v+s/MeRGOHW2FP/h9GxB7tv2UHN7REsarOuvJvRZigZX9eGiTC0x8/MDD4ZvM5wZp6dpuW/bQ4vtETVrMNRfKfVZigbX9OFl4n0kv1rwLcDykueKgvP1bXtotT2iZg2G+iulPkvR4Jo+5EfAS8QtSH5e2EP84vG5rcRfEt8m4dv20HJ7RM0aDPVXKn2WosGhPrxOvIPkV8FzWbKMCWdFWMc9vst3rxsKrsG37aHl9ojaNRjir1T6LEWDQ304IUHbW1Nwvhs6Wt27jXuFcmNkfk3pp9yVDnh8b5/r9xXtKEkMPsVzi3vtWdHgKP5Kqc9SNOjtQ36c/MG1vyt8aqxz/SL3NEIBwF92fMg/BLyLuAWBlzdzCAMAf+n04T8jgFRKA8cSDAAAAlt0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZlbmNlZCBzZXBhcmF0b3JzPSJ8Ij48bXJvdz48bWZyYWM+PG1yb3c+PG1vPiYjeDIyMTI7PC9tbz48bW4+NzwvbW4+PC9tcm93Pjxtbj4xMTwvbW4+PC9tZnJhYz48bW8+KzwvbW8+PG1mcmFjPjxtbj4yPC9tbj48bXJvdz48bW8+JiN4MjIxMjs8L21vPjxtbj41PC9tbj48L21yb3c+PC9tZnJhYz48L21yb3c+PC9tZmVuY2VkPjxtbz4rPC9tbz48bWZyYWM+PG1yb3c+PG1vPiYjeDIyMTI7PC9tbz48bW4+MTM8L21uPjwvbXJvdz48bW4+MjI8L21uPjwvbWZyYWM+PG1vPj08L21vPjxtZnJhYz48bXJvdz48bW8+JiN4MjIxMjs8L21vPjxtbj43PC9tbj48L21yb3c+PG1uPjExPC9tbj48L21mcmFjPjxtbz4rPC9tbz48bWZlbmNlZCBzZXBhcmF0b3JzPSJ8Ij48bXJvdz48bWZyYWM+PG1uPjI8L21uPjxtcm93Pjxtbz4mI3gyMjEyOzwvbW8+PG1uPjU8L21uPjwvbXJvdz48L21mcmFjPjxtbz4rPC9tbz48bWZyYWM+PG1yb3c+PG1vPiYjeDIyMTI7PC9tbz48bW4+MTM8L21uPjwvbXJvdz48bW4+MjI8L21uPjwvbWZyYWM+PC9tcm93PjwvbWZlbmNlZD48L21hdGg+GU83TgAAAABJRU5ErkJggg==)
Maths-General
Maths-
Verify ![fraction numerator negative 12 over denominator 5 end fraction plus 2 over 7 equals 2 over 7 plus fraction numerator negative 12 over denominator 5 end fraction](data:image/png;base64,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)
Verify ![fraction numerator negative 12 over denominator 5 end fraction plus 2 over 7 equals 2 over 7 plus fraction numerator negative 12 over denominator 5 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Find the perimeter and area of a semicircle whose radius is 14 cm.
Find the perimeter and area of a semicircle whose radius is 14 cm.
Maths-General
Maths-
The diameter of a circular park is 98 m. Find the cost of fencing it at Rs 4 per metre.
The diameter of a circular park is 98 m. Find the cost of fencing it at Rs 4 per metre.
Maths-General
Maths-
The circumference of a circular park is 176 m. Find the area of the park.
The circumference of a circular park is 176 m. Find the area of the park.
Maths-General
Maths-
A copper wire when bent in the form of a square encloses an area of 121 cm2. If the same wire is bent into the form of a circle, find the area of the circle.
A copper wire when bent in the form of a square encloses an area of 121 cm2. If the same wire is bent into the form of a circle, find the area of the circle.
Maths-General
Maths-
Find the area of a circle whose radius is 14 cm.
Find the area of a circle whose radius is 14 cm.
Maths-General
Maths-
Find the circumference of the given circle.
![](data:image/png;base64,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)
Find the circumference of the given circle.
![](data:image/png;base64,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)
Maths-General
Maths-
Evaluate ![3 over 5 plus 7 over 3 plus fraction numerator negative 11 over denominator 5 end fraction plus fraction numerator negative 2 over denominator 3 end fraction](data:image/png;base64,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)
Evaluate ![3 over 5 plus 7 over 3 plus fraction numerator negative 11 over denominator 5 end fraction plus fraction numerator negative 2 over denominator 3 end fraction](data:image/png;base64,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)
Maths-General