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    Circle Theorems (3) Section A - Diagrams Included - Find The Marked Sides/angles To 3sf

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    Daphne Law
    This document contains information about circle theorems and geometry problems involving circles. It includes diagrams of circles with labeled sides and angles and asks to find specified values to three significant figures. It also contains word problems asking to find arc lengths, chord lengths, angles, areas of sectors and segments, and the shortest distance from a chord to the circle center. One challenge problem asks to find the area of a larger circle given lengths of sides of a triangle inside it.

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    Circle Theorems (3) Section A - Diagrams Included - Find The Marked Sides/angles To 3sf

    Uploaded by

    Daphne Law
    195 views1 page
    This document contains information about circle theorems and geometry problems involving circles. It includes diagrams of circles with labeled sides and angles and asks to find specified values to three significant figures. It also contains word problems asking to find arc lengths, chord lengths, angles, areas of sectors and segments, and the shortest distance from a chord to the circle center. One challenge problem asks to find the area of a larger circle given lengths of sides of a triangle inside it.

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    Original Title

    Circle-Theorems-(3) copy

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    This document contains information about circle theorems and geometry problems involving circles. It includes diagrams of circles with labeled sides and angles and asks to find specified values to three significant figures. It also contains word problems asking to find arc lengths, chord lengths, angles, areas of sectors and segments, and the shortest distance from a chord to the circle center. One challenge problem asks to find the area of a larger circle given lengths of sides of a triangle inside it.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    195 views1 page

    Circle Theorems (3) Section A - Diagrams Included - Find The Marked Sides/angles To 3sf

    Uploaded by

    Daphne Law
    This document contains information about circle theorems and geometry problems involving circles. It includes diagrams of circles with labeled sides and angles and asks to find specified values to three significant figures. It also contains word problems asking to find arc lengths, chord lengths, angles, areas of sectors and segments, and the shortest distance from a chord to the circle center. One challenge problem asks to find the area of a larger circle given lengths of sides of a triangle inside it.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    of 1

    Circle Theorems (3)

    Section A – diagrams included – Find the marked sides/angles to 3sf

    a) A Ac) Radius = 11cm


    b)
    y
    16cm
    x x
    O D
    5cm
    12cm O O
    x y
    B 8cm B 9cm
    A 20cm
    B
    C
    d) A e) f) B
    B
    X 36⁰
    17cm x
    B 7cm
    12cm 13cm y C O
    O A O
    A 24cm C

    Find the area of segment X Find the area of triangle OAC

    Section B – worded questions to 3sf

    a) A circle, centre O, has a sector OAB shaded, with A and B being two points on
    the circumference. If angle AOB is 45˚, and the circle has a radius of 6cm,
    calculate:
    i) The length of arc AB
    ii) The length of chord AB
    iii) The angle between OA and chord AB

    b) A chord of length 10cm is inside a circle with a diameter of 28cm. Find the
    shortest distance from the chord to the centre of the circle.

    c) A circle, centre O, of radius 3cm has a sector OAB shaded, with A and B being
    points on the circumference. If the area of sector OAB is 10cm 2, calculate the
    angle OAB, where AB is a chord.

    Super Challenge Question A

    6cm

    7cm
    Find the area of the B O
    circle
    9cm

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