8. Radiusu 18 sm olan çevrodo \( \frac{4}{9} \) radianlıq qövsün uzunluğunu tapın: \( \begin{array}{lll}\text { A) } 8 \mathrm{sm} & \text { B) } 7 \mathrm{sm} & \text { C) } 18 \mathrm{sm} \\ \text { D) } 12 \mathrm{sm} & \text { E) } 10 \mathrm{sm}\end{array} \)

A circle whose centre \( (-2,5) \) passes through point \( P(10,10) \). Find the equation of the is the form of \( a x^{2}+b y^{2}+c x+d y+k=0 \). Where ab, c \( d \) and \( k \) are constants.

4) Base perimeter of a square pyramid is 40 cm and height 30 cm a) What is the base area? b) Find the volume of the pyramid Answer any four questions. Each carries 3 scores Draw a circle of radius 3 cm . Mark a pointP on the circle. Construct tangent to the

Vhat is the area of the circular ring included between two concentri irclec of radius 14 cm and 10.5 cm ?

How can you determine the surface area of a cube using its net diagram? Describe the steps involved.

Given the equations of lines \( \boldsymbol{l}_{1} \) and \( \boldsymbol{l}_{2} \) are \( \mathrm{r}=(\mathrm{i}+2 \mathrm{j}+3 \mathrm{k})+\lambda(\mathrm{i}-\mathrm{j}+2 \mathrm{k}) \) and \( \mathrm{r}=(5 \mathrm{i}+\mathrm{j}+5 \mathrm{k})+\mu 2 \mathrm{i}+\mathrm{j}-2 \mathrm{k}) \) respectively, where \( \lambda \) and \( \mu \) are real patameters. (a) Show that lines \( \boldsymbol{\ell}_{1} \) and \( \boldsymbol{\ell}_{2} \) intersect and hence, state the coordinates of the point of intersection. (b) Find the Cartesian equation of the plane \( \Pi_{1} \), which contains lines \( \boldsymbol{\ell}_{1} \) and \( \boldsymbol{\ell}_{2} \). (c) The planes \( \Pi_{2} \) and \( \Pi_{3} \) are with equations \( 2 \mathrm{r}+2 \mathrm{y}+z=3 \) and \( 2 \mathrm{r}+p y+2 z=2 \) respectively, where \( p \) is a constant. (i) Find the vector equation of the line of intersection between planes \( \Pi_{1} \) and \( \Pi_{2} \). (ii) Determine the value of \( p \) such that the planes \( \Pi_{1}, \Pi_{2} \) and \( \Pi_{3} \) do not have any common point.