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A circle has diameter 16 cm . What is th...

A circle has diameter `16` `cm` . What is the radius of the circle ?

A

`6cm`

B

`7cm`

C

`8cm`

D

`9cm`

Text Solution

AI Generated Solution

The correct Answer is:
To find the radius of a circle when given the diameter, follow these steps: ### Step-by-Step Solution: 1. **Identify the Given Information**: - The diameter of the circle is given as `16 cm`. 2. **Recall the Formula for Radius**: - The radius of a circle is half of its diameter. The formula to find the radius (r) from the diameter (d) is: \[ r = \frac{d}{2} \] 3. **Substitute the Given Diameter into the Formula**: - Substitute `16 cm` for `d` in the formula: \[ r = \frac{16 \text{ cm}}{2} \] 4. **Perform the Calculation**: - Divide `16 cm` by `2`: \[ r = 8 \text{ cm} \] 5. **State the Final Answer**: - The radius of the circle is `8 cm`.
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Knowledge Check

  • What will be 4 times the diameter of a circle . If the radius of the circle is 2 cm?

    A
    `12 cm `
    B
    `14 cm `
    C
    `16 cm `
    D
    `18 cm `
  • A circle has radius 12 cm. What is the length of the longest stick that can be placed inside this circle such that the two ends of the stick lie on the circle?

    A
    `22 cm`
    B
    `24 cm`
    C
    `20 cm`
    D
    `26 cm`
  • A wire is bent in the form of a square of side 16.5 cm . It is straightened and then bent into a circle. What is the radius of the circle so formed ? (Take pi=(22)/(7))

    A
    16.5 cm
    B
    11.5 cm
    C
    10.5 cm
    D
    12.5 cm
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