Maths-
General
Easy
Question
Find the perimeter of a semicircle of radius 28 cm.
Hint:
Perimeter of a semi – circle is half that of a circle.
The correct answer is: 88 cm
It is given that radius = 28 cm
Perimeter of semi – circle = ![fraction numerator text perimeter of circle end text over denominator 2 end fraction equals fraction numerator 2 pi r over denominator 2 end fraction](data:image/png;base64,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)
=
r =
× 28
= 88 cm
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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,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)
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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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)
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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,iVBORw0KGgoAAAANSUhEUgAAAJ8AAAAjCAYAAACKE9juAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAl9JREFUeNrtXLFKA0EQXUKQIGnEwlIIIkFEAmIhQSSNiFiEQAqxEBuxDPb+g72lhSAiIhLsJIiFnViJINY2FinkCEKc5Qa0EDxye9k3m3nwCsO53Jt5mZ3NZWLM36gR28RPYkR8IR4RJ83w0f+HUjBLPCQ+OroODVXiObFL7PH9bw+y0C2xQRz79VqFeAMktkk8FpScE+JegjdM0uvQ0CFuEYv89xzxnl9zgi6I0CniHbFg5KHv+DpkTBOfXCxUIj6DiLriSmzUfPCI0laZXe77NgDE7HNPZNR88FjmrTd1o98CKeMPxLyaDx4FzlU1zSITxDovtArQ1NYAzJPmBC7FfGl0Ws9cEtdc3UyRDejzdNsOYCsKvfKV2HgzUM1jCuT4sFNR80GjbOKPv8ZdL7zAhw4fqPOWa9R8sLAH0zMX/XiHt7k8Vx3bZ70RdzwJO+UTt5oPF9dc+VJjhReLmPaJx6ZHYe/cxEo3XZKGXeojxBAegSoU/rabUbsX1anm05hrIDQpqlPNpzFHOa0McpLJ+n/R7yVLSteplU8rn267mhTVqebTmGsgNCmqU6HAO/kOG0hjnJLjKCYfSMGRMMY5Stte5vmQELSumi/MfKAHDWmMU83nOB+oQUMb4xx182WSDxu0HpdS21wemJ+fQUBo3FtCkoMWR1H5sF+jXzTxkLYtq2XPopHGOCXHUVw+7AwmyhCP7zHOUOIoKh8RkOBIcLIiEx4y1TRPfAUR6nOMM6Q4QubjwsQ/8pJjrnPAGh6EoY1xSo2jmHw02clfxA8TDwMveRKLNsYpNY5w+fgG/RVrVVp1iegAAAEmdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mcmFjPjxtbj4zPC9tbj48bW4+NTwvbW4+PC9tZnJhYz48bW8+KzwvbW8+PG1mcmFjPjxtbj43PC9tbj48bW4+MzwvbW4+PC9tZnJhYz48bW8+KzwvbW8+PG1mcmFjPjxtcm93Pjxtbz4mI3gyMjEyOzwvbW8+PG1uPjExPC9tbj48L21yb3c+PG1uPjU8L21uPjwvbWZyYWM+PG1vPis8L21vPjxtZnJhYz48bXJvdz48bW8+JiN4MjIxMjs8L21vPjxtbj4yPC9tbj48L21yb3c+PG1uPjM8L21uPjwvbWZyYWM+PC9tYXRoPgyiTekAAAAASUVORK5CYII=)
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
Maths-
The sum of two rational numbers is -5. If one of them is,
find the other.
The sum of two rational numbers is -5. If one of them is,
find the other.
Maths-General
Maths-
Arrange the following rational numbers in descending order
and
.
Arrange the following rational numbers in descending order
and
.
Maths-General