12cm
10cm
8cm
6cm
Correct answer is D
p from LM = \(\sqrt{10^2 - 8^2}\)
= \(\sqrt{36}\) = 6cm
x - y = 1
x + y = 1
x + y = 5
x - y = 5
Correct answer is C
m = tan 135° = -tan 45° = -1
\(\frac{y - y_1}{x - x_1}\) = m
\(\frac{y - 3}{x - 2}\) = -1
= y - 3 = -(x - 2)
= -x + 2
x + y = 5
A cone with the sector angle of 45° is cut out of a circle of radius r of the cone.
\(\frac{r}{16}\) cm
\(\frac{r}{6}\) cm
\(\frac{r}{8}\) cm
\(\frac{r}{2}\) cm
Correct answer is C
The formula for the base radius of a cone formed from the sector of a circle = \(\frac{r \theta}{360°}\)
= \(\frac{r \times 45°}{360°}\)
= \(\frac{r}{8} cm\)
22cm2
44cm2
66cm2
88cm2
Correct answer is A
Area of a sector = \(\frac{\theta}{360°} \times \pi r^{2}\)
r = 6cm; \(\theta\) = 70°.
Area of the sector = \(\frac{70}{360} \times \frac{22}{7} \times 6^{2}\)
= \(22 cm^{2}\)
22cm
44cm
110cm
220cm
Correct answer is A
Diameter = 42cm
Length of the arc = \(\frac{\theta}{360°} \times \pi d\)
= \(\frac{60}{360} \times \frac{22}{7} \times 42cm\)
= \(22cm\)