Polar curves/Area of rectangle

[trew]

Homework Statement

Homework Equations

The Attempt at a Solution

Part C is confusing me.

I got the height PQ to be 16/3root6

But I'm lost as to how to find the length SP. The mark scheme has the answer as 8, or (SP/2 = 4 therefore SP = 8) but I still can't figure it out, maybe it's 'cause I've been doing questions all day.

Can someone shed some light on this for me please.

 

[BvU]

Try $\theta=0$

 

[trew]

Try $\theta=0$

<Content edited by mentor>
Thank you

 

[Ray Vickson]

Homework Statement

View attachment 225862

Homework Equations

The Attempt at a Solution

Part C is confusing me.

I got the height PQ to be 16/3root6

But I'm lost as to how to find the length SP. The mark scheme has the answer as 8, or (SP/2 = 4 therefore SP = 8) but I still can't figure it out, maybe it's 'cause I've been doing questions all day.

Can someone shed some light on this for me please.

Part (c) needs calculus, so should certainly not appear in a "pre-calculus" forum.

 

[Mark44]

Part (c) needs calculus, so should certainly not appear in a "pre-calculus" forum.

Thread moved for this reason.