help needed as soon as possible with geometry homework please! please help please!

Question

Question 1: Identify the area of sector MOR in terms of π and rounded to the nearest hundredth.

A.) ≈ 49π in2 ≈ 153.94 in²

B.) ≈ 7π in2 ≈ 21.99 in²

C.) ≈ 17.96π in2 ≈ 56.42 in²

D.) ≈ 8.98π in2 ≈ 28.22 in²

Question 2: Identify the value of x and the length of each chord.

A.) x = 9.1; AB = 16.5; CD = 14.1

B.) x = 11.5; AB = 16.5; CD = 16.5

C.) x = 9.5; AB = 16.5; CD = 14.5

D.) x = 9.1; AB = 9.1; CD = 16.5

Question 3: Identify each line or segment that intersects ⊙ T.

A.) chords: Line PQ and Line RS; secants: none;

    tangents: u and v; diameter: Line WX;

    radii: Line WT and Line TX

B.) chords: Line PQ, Line RS, and Line WX;

    secants: Line PQ and Line WX;

    tangents: u and v; diameter: Line WX;

    radii:Line WT and Line TX

C.) chords: Line PQ, Line RS, and Line WX;

    secants: Line PQ and Line WX;

    tangents: u and v;

    diameters: Line WX, Line PQ, and Line RS;

    radii: Line WT and Line TX

D.) chords:Line PQ, Line RS, and Line WX;

    secants: none;tangents: v and u; diameter: Line WX;

    radii: Line WT and Line TX



Please just give the explanation and answer!

Answer 1

For question 1 use following proportion: area of sector/area of circle = size of central angle/360

We are given central angle = 66 and the area of the circle = PI * radius^2, where radius is given a 7 cm.

For question 2: when two chords intersect in a circle, the product of the lengths of their segments is equal, i.e., CE * ED = BE * EA. Use that relationship to solve for x and find length of chords.

For question 3: a chord is a segment that connects two points on a circle. A diameter is a chord that passes through the circle's center. The radius is one-half the circle's diameter. A tangent touches a circle at exactly one point and never enters the circle's interior. A secant is a line segment that passes through 2 points on a circle and is an infinite extension of a chord. Based on those definitions PQ, RS and WX are chords, WX is a diameter, WT and TX are radii and u and v are tangents.