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A circular truck has radius 3.5cm. Find the a) circumference b) Area c) diameter 2. The figure below is a rectangle

Mathematics

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1. A circular track has radius 3.5 cm. Find:

a) Circumference

  1. The formula for the circumference of a circle is C=2πrC = 2\pi r.

    C=2×227×3.5 cmC = 2 \times \frac{22}{7} \times 3.5\, \text{cm}
  2. Substitute the radius and calculate.

    C=2×227×72 cmC = 2 \times \frac{22}{7} \times \frac{7}{2}\, \text{cm} C=22 cmC = 22\, \text{cm}

    The circumference is 22 cm\boxed{\text{22 cm}}.

    b) Area

  3. The formula for the area of a circle is A=πr2A = \pi r^2.

    A=227×(3.5 cm)2A = \frac{22}{7} \times (3.5\, \text{cm})^2
  4. Substitute the radius and calculate.

    A=227×(3.5×3.5) cm2A = \frac{22}{7} \times (3.5 \times 3.5)\, \text{cm}^2 A=227×12.25 cm2A = \frac{22}{7} \times 12.25\, \text{cm}^2 A=38.5 cm2A = 38.5\, \text{cm}^2

    The area is 38.5 cm2\boxed{\text{38.5 cm}^2}.

    c) Diameter

  5. The formula for the diameter of a circle is d=2rd = 2r.

    d=2×3.5 cmd = 2 \times 3.5\, \text{cm}
  6. Calculate the diameter.

    d=7 cmd = 7\, \text{cm}

    The diameter is 7 cm\boxed{\text{7 cm}}.

    2. The figure below is a rectangle with length 3.5 cm and width 2.5 cm. Find:

    a) Perimeter

  7. The formula for the perimeter of a rectangle is P=2(L+W)P = 2(L + W).

    P=2(3.5 cm+2.5 cm)P = 2(3.5\, \text{cm} + 2.5\, \text{cm})
  8. Substitute the length and width and calculate.

    P=2(6.0 cm)P = 2(6.0\, \text{cm}) P=12.0 cmP = 12.0\, \text{cm}

    The perimeter is 12.0 cm\boxed{\text{12.0 cm}}.

    b) Area

  9. The formula for the area of a rectangle is A=L×WA = L \times W.

    A=3.5 cm×2.5 cmA = 3.5\, \text{cm} \times 2.5\, \text{cm}
  10. Substitute the length and width and calculate.

    A=8.75 cm2A = 8.75\, \text{cm}^2

    The area is 8.75 cm2\boxed{\text{8.75 cm}^2}.

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