Perplex
Content
  • Exponents & Logarithms
  • Approximations & Error
  • Sequences & Series
  • Counting & Binomials
  • Proof and Reasoning
  • Cartesian plane & lines
  • Quadratics
  • Function Theory
  • Transformations & asymptotes
  • 2D & 3D Geometry
  • Trig equations & identities
  • Probability
  • Descriptive Statistics
  • Bivariate Statistics
  • Distributions & Random Variables
  • Differentiation
  • Integration
Other
  • Review Videos
  • Formula Booklet
  • Blog
  • Landing Page
  • Sign Up
  • Login
  • Perplex
    IB Math AASL
    /
    Trig equations & identities
    /

    Problem Bank

    [Maximum mark: 6]

    The points ​P​ and ​Q​ lie on a circle with center ​O​ and radius ​r​ such that ​PO^Q=2​ radians.

    Powered by Desmos

    The perimeter of the shaded region is ​7π.

    1. Find the value of ​r.

      [4]

      To earn a crown, get your answer ready before you reveal the options!

    2. Hence find the area of the region inside the circle that is not shaded.

      [2]

    Ask Plex AI about this problem

    Get hints, ask questions, and work through this problem step by step

    I'm Plex, here to help with problems on this worksheet!