Warm Up Sept 16 Solve 3 – x = - 4 3x – 7 = 5 3(x + 7) = -10 3(h – 2) + 15 = 18
Warm up: Solve for x
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Transcript of Warm up: Solve for x
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Warm up: Solve for x
18◦
1.)
x
124◦70◦
x
2.)
3.)
x
260◦
20◦110◦ x
4.)
53 145
8070
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Questions over hw?
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Daily Check
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Circumference & Arc Length
of Circles
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CircumferenceThe distance around a circle
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orC 2 r
C d
Circumference
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Find the EXACT circumference.
28 ft1.r = 14 feet
2.d = 15 miles15 miles
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Ex 3 and 4: Find the circumference. Round to the nearest tenths.
89.8 mm 103.7 yd
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5. A circular flower garden has a radius of 3 feet. Find the circumference of the garden to the nearest hundredths.
C = 18.85 ft
r2 C C 2 3
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Arc LengthThe distance along the curved line
making the arc (NOT a degree amount)
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Arc Length
measure of arcArc Length 2
360r
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Ex 6. Find the Arc LengthRound to the nearest hundredths
8m
70
9.77 m
measure of arcArc Length 2
360r
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Ex 7. Find the Arc Length Round to the nearest hundredths
12 in
110
23.04 in
measure of arcArc Length 2
360r
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Ex 8. Find the exact Arc Length.
10 in3
measure of arcArc Length 2
360r
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Ex 9. What happens to the arc length if the radius were to be doubled? Halved?
20 5 in, in3 3
measure of arcArc Length 2
360r
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ClassworkPractice from Notes Page
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2 Types of Answers
Rounded• Type the Pi
button on your calculator
• Toggle your answer
• Do NOT write Pi in your answer
Exact• Pi will be
in your answer
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AreaThe amount of space occupied.
r A= r2
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Find the EXACT area.
2841 ft1.r = 29 feet
2.d = 44 miles2484 mi
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Find the area. Round to the nearest tenths.
2181.5 yd 22206.2 cm
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Example 3
If S has a diameter of 10 inches, find the area of the circle to the nearest hundredths.
A = 78.54 in2
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Sectorthe region bounded by two radii of the
circle and their intercepted arc.
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Area of a Sector
2measure of arc360
A r
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Example 4 Find the area of the sector to the nearest hundredths.
A 18.85 cm2
606 cm
Q
R
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Example 5 Find the exact area of the sector.
6 cm
120
7 cm
Q
R
249A cm3
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Example 6
Find the area of a sector with a central angle of 45° if the diameter of the circle is 12 inches. Round to the nearest hundredths. A 14.14 in2
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Example 7 A spinner is divided into 12 equal sections and the radius of the spinner is 4 inches. Every other section is shaded. Find the exact total area of the shaded region on the spinner.
A = 8 in2
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Homework9 Problems