# Hotmath

Title:
Hotmath
Author:
Hotmath
Chapter: Circles Section: Exercises

Problem: 1

For a circle with radius r = 9, find the diameter, d, and the circumference, C . Round off your answer to the nearest tenth.

Problem: 2

The radii of two concentric circles are 16 cm and 9 cm. Compute two possible values for AC , if a diameter of the larger circle intersects the smaller circle at C and D .

Problem: 3

In P , find PQ if MN = 7.3.

Problem: 4

Calculate the exact circumference of A .

Problem: 5

Sketch O with radius 10. Then draw radii and such that . Find the length of .

Problem: 6

is a tangent to P and Q . ( Hint : What kind of quadrilateral is JPQK ).

Problem: 7

In S , SR = 15 and m PSR = 110 o . Find the length of . Round the answer to the nearest tenth.

Problem: 8

is the diameter of S. m PSR = 2 x – 1 and m RSQ = 3 x + 6. Find m QSR .

Problem: 9

Given: Two tangent circles, is a common external tangent,

is the common internal tangent.

Discover and prove something interesting about point D .

Problem: 10

In P , m RPN = 50 o . Is a minor arc, a major arc, or a semicircle? Also calculate .

Problem: 11

In P , MN = 8 and m RPN = 50 o . Find the length of .

Problem: 12

In C , AB = 30 and AC = 17. If , then find CE .

Problem: 13

In X , m XVU = 46. Find m XSR .

Problem: 14

Find the measure of central from the given figure.

Problem: 15

Prove using the facts and the figure.

Given: is a diameter of S ,

Prove:

Problem: 16

In the accompanying figure, find the value of a .

Problem: 17

In the given figure, O is the center of the circle.

OT = 7, RS = 14, OR =

Problem: 18

In the given figure, O is the center of the circle.

AB = 15

Problem: 19

is a tangent to P at B . Calculate the value of x

Problem: 20

Obtain the values of x , y , and z from the given figure.

Problem: 21

Obtain the values of x , y , and z from the given figure.

Problem: 22

If two chords of a circle are parallel, the two arcs between the chords are congruent. State the converse of this statement and say whether it is true or false. If true, give the proof. If false, explain why it is false.

Problem: 23

Tangents , , and are common to X and Y . XN = 4, YS = 5, m KXN = 50. Find VT .

Problem: 24

is a tangent to K at Q . Find m RLQ .

Problem: 25

Chords and intersect at S . Obtain the length of IS .

HI = 16, JS = 16, and KS = 4