Question
Consider a circle with a radius of $7+sin(alpha)$ units centred at the origin for $alpha$ in [0,1]. Now consider a triangle with one vertex at
Consider a circle with a radius of $7+sin(\alpha)$ units centred at the origin for $\alpha$ in [0,1]. Now consider a triangle with one vertex at the origin, and two sides extending upwards such that the angle between the sides is 60 degrees.
The other two vertices of the triangle reach the edge of the circle. Another triangle is formed by reflecting this triangle across the x-axis.
Find the maximum remaining area inside the circle after subtracting the areas of both triangles for the largest possible given value of alpha. Give the answer in the exact form, (area, $\alphas).
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started