The track of a high-precision robot follows a straight line $l_1$ with equation $x + 4 y = 32$ . The line $l_1$ intersects the $y$ -axis at the point $C$ .

State the $y$ -coordinate of $C$ .

The point $D (8, 6)$ lies on $l_1$ . The line $l_2$ passes through $D$ and is perpendicular to $l_1$ . The line $l_2$ intersects the $y$ -axis at the point $E$ .

Show that the $y$ -coordinate of $E$ is $- 26$ .

A circular cleaning region $B C E$ , which is a sector of a circle with centre $C$ , is used by the robot. Given that angle $B C E$ is $0.8$ radians,

find the length of the arc $B E$ .

The total operational area $C B E D$ consists of the sector $B C E$ joined to the triangle $C D E$ .

Calculate the exact area of the region $C B E D$ .

The track of a high-precision robot follows a straight line $l_1$ with equation $x + 4 y = 32$ . The line $l_1$ intersects the $y$ -axis at the point $C$ .

State the $y$ -coordinate of $C$ .

The point $D (8, 6)$ lies on $l_1$ . The line $l_2$ passes through $D$ and is perpendicular to $l_1$ . The line $l_2$ intersects the $y$ -axis at the point $E$ .

Show that the $y$ -coordinate of $E$ is $- 26$ .

A circular cleaning region $B C E$ , which is a sector of a circle with centre $C$ , is used by the robot. Given that angle $B C E$ is $0.8$ radians,

find the length of the arc $B E$ .

The total operational area $C B E D$ consists of the sector $B C E$ joined to the triangle $C D E$ .

Calculate the exact area of the region $C B E D$ .

Radians

Question 142

Markscheme

Radians

Question 142

Markscheme

Radians

Question 142

Radians Questions

Radians

Question 142

Radians Questions