4 Mark Question

Question 14 Marks

Identify the radii, chords and diameters in the circle alongside and write their names in the table below :

i. Radii
ii. Chords
iii. Diameters

Answer

i. OA, OB, OC, OF
ii. EC, AD, AB, FC
iii. AB, FC

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Question 24 Marks

The wheel of a bullock cart has a diameter of 1.4 m. How many rotations will the wheel complete as the cart travels 1.1 km ?

Answer

Diameter of the wheel of the bullock cart $( d )=1.4 m$
Circumference of the wheel of the bullock cart $(c)=\pi d$ $=\frac{22}{7} \times 1.4=\frac{22}{7} \times \frac{14}{10}=\frac{44}{10}=4.4 m$
Distance covered in 1 rotation = Circumference of the wheel $=4.4 m$
$
\begin{aligned}
\text { Number of rotations }= & \frac{\text { Distance covered }}{\text { Circumference }} \\
=\frac{1.1 km }{4.4 m } & =\frac{1.1 \times 1000 m }{4.4 m } \quad \ldots[1 km =1000 m ] \\
& =\frac{11 \times 1000}{44} \\
& =250
\end{aligned}
$
$\therefore$ The wheel of the bullock cart will complete 250 rotations as the cart travels $1.1 km$.

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