Daily Warmup Questions from HW?? B 1. BD bisects ABC. Find the m ABC. (3x + 17) (7x - 39) C 2. The figure below is a regular polygon. Find the value of x. - x 2 + x + 43 A D 4x 2 + x - 37 3. The measure of one angle is 7 times the measure of its complement. Find the measure of each angle.
Section 1.7 * Learning Targets: Perimeter & Area - I can find the perimeter, area, or circumference of a rectangle, square, or circle. - I can use the given information to find any missing information for rectangles, squares, or circles. * Homework: p.52 #1-15,19-32, 33-48 pick 6 & Area
Terminology: Perimeter - the total distance around a figure. * Always labeled with appropriate unit measure (i.e. "yds", "meters", "miles", "feet", etc.). If no measurement provided, you write "units". Area - The number of non-overlapping squares of a given size that will exactly cover the interior of the closed figure. * Always labeled with appropriate squared unit measure (i.e. yd 2, m 2, mi 2, ft 2, etc.). If no measurement provided, you write u 2.
Rectangles: b Squares: s s = "side" h s Perimeter : Perimeter = h + b + h + b P = 2b + 2h Perimeter : Perimeter = s + s + s + s P = 4s Area: Area = base height A = bh Area: Area = base height = side side A = s 2
Find the area and perimeter of the given figures: Rectangle Square 9 ft 30 inches 12 ft
Triangles: h t h h b b b Perimeter : Perimeter = h + b + t Area: Area = ½ base height Height has to be perpendicular to base. A = ½ bh
Find the area and perimeter of the given figures: 10 mi E A B 3 mi 4 mi D 15 cm 35 cm F C DEF is regular.
Example: Find the area and perimeter of the figure. ( 3, 4)
Examples: 1. Find the height of the triangle if the base is 4 units and the area is 14 square units. 2. The perimeter of a rectangle is 28.8 centimeters. The length of the rectangle is twice as long as its width. Find the length and width of the rectangle. 3. The perimeter of a rectangle is 100 inches with a base length of 40 in. What is the Area? 4. The area of a square is 144 square feet. What is the perimeter?
Terminology: r Radius, r - distance from the center of the circle to any point on the circle. d Diameter, d - The length of a line through the center of a circle with its endpoints on the edge of the same circle. Circumference, C - the total distance around a circle. Circumference = Perimeter for Circles!! C = 2πr - or - C = 2πr= π(2r) = πd C = πd Area, A - The amount of space enclosed inside the circle. A = πr 2 https://www.youtube.com/watch?v=yokkp3pwvfc&safe=active
Find the area and circumference of the given circles to the nearest tenth: Approximate Answers = Decimal answers (calculate π so it is not in your answer)! 32 cm 5.8 km
Find the exact area and circumference of the given circle: Exact Answers = Leave π in your answer!!! 15 yds
Real Life Example: A countertop company measures the surface of a sink countertop to be 7 feet long and 2 feet wide. The countertop will have two sinks cut out of the countertop as shown below. How much area will the countertop have? Round to the nearest tenth.
Examples: 1. Find the exact area of a circle with a diameter of 16 inches. 2. The circumference of a circle is exactly 24π feet. What is its diameter? 3. The area of a circle is 169π square millimeters. What is the circumference?