1 / 16

Let’s Get It Started . . . Fill in the blanks:

Let’s Get It Started . . . Fill in the blanks: 1. The inverse operation of squaring a number is taking its _______________. 2. Every positive number has two square roots: one __________ and one _____________.

hedva
Télécharger la présentation

Let’s Get It Started . . . Fill in the blanks:

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Let’s Get It Started . . . Fill in the blanks: 1. The inverse operation of squaring a number is taking its _______________. 2. Every positive number has two square roots: one __________ and one _____________. 3. The positive square root of a number is called the ______________________. State a theorem about circles that you already know: square root Theorem: All radii of a circle are congruent. positive negative principal square root

  2. Solve for x. 3x2 + 5x – 7 = x2 + 8x + 28

  3. Section 7.6: Circles and Arcs • Section 7.7: Areas of Circles and Sectors • At the end of this lesson you will understand/apply: • Radii • Area • Circumference • Chords, inscribed angles, and intersected arcs • Sectors and intersected arcs

  4. Introduction to Circles Formulas: AreaA = r2 CircumferenceC = 2r = d  = 3.141592654 (on a scientific calculator) Most people use  = 3.14 *You name a circle by its center point

  5. CD DCX CX Arcs (parts of circles) An arc is made up of two points on a circle and all the points of the circle needed to connect those two points by a single path. X CD Semi-circle: half Minor arc < semicircle Major arc > semi circle symbol

  6. A (0, 8) B (8, 0) X (0, 0) Arcs (cont.) Arcs have a measure (degrees) and a length (partial circumference). Find the measure of arc AB. An entire circle is 360. Since the arc is one-fourth of the circle, its measure is: Find the length of arc AB. The entire circle has a circumference of: Since the arc is one-fourth of the circle’s circumference, the length (l) of arc AB is:

  7. A central angle is an angle whose vertex is the center of the circle. Measure of Arc AB (degrees)= measure of the central angle Length of Arc AB (partial circumference)

  8. B Q A 320 P O 12 cm C R S D Identify the minor arcs, major arcs, and semi-circles in Circle P. Find the measure of arc RS, the length of arc SR (in terms of ), and the length of arc SQR (in terms of π).

  9. Sectors A sector of a circle is a region bounded by two radii and an arc of a circle. The pink area shows sector AXB. A sector has an area. Find the area of sector AXB. The area of the entire circle is: Since the sector is one-fourth of the circle’s area, the area of sector AXB is: A (0, 8) B (8, 0) What if the angle were 40? What fraction of the circle’s area would the sector be? X (0, 0)

  10. E F 120 24 ft C L 6 cm 100 A B Find the area of shaded sector ACB in terms of . Find the area of shaded segment, in terms of , then rounded to the nearest tenth.

  11. Circle S has a diameter of 10 in and an inscribed square. Find the area of the shaded regions in terms of . 10 in S

  12. A park contains two circular playgrounds. One has a diameter of 60 m and the other has a diameter of 40 m. How much greater is the area of the larger playground? (Round to the nearest whole number.) A circle has an 8-in radius. Find the area of a sector whose arc measure is 135. Express your answer in terms of .

  13. Find the area of the shaded region. Round to the nearest whole number. Find the area of the shaded region. Round to the nearest whole number. 13 cm 60 22 in 90

  14. Find the area of the shaded region. Express your answer in terms of . 7 m

  15. Chords A chord is a line segment joining two points on a circle. (A diameter is a special chord that passes through the circle center.) RQ and RS are chords. An inscribed angle is an angle whose vertex is on a circle and whose sides are determined by two chords of the circle. QRS is an inscribed angle. The measure of an inscribed angle is half the measure of its intercepted arc. Q S R

  16. Homework 7.6-7.7 Walsh Worksheet

More Related