Target: Use proportions to calculate the area of sectors.

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Presentation transcript:

Target: Use proportions to calculate the area of sectors.

Warm-Up Find the area: How many degrees are in a circle?

Sector: Think “a slice of pizza”

5 cm

The area of the circle is 60 cm 2. Use a proportion to find the area of the sector.  Write a proportion.  Set the cross products equal.  Multiply.  Divide.  The area of the sector is 15 cm 2.

The Macy family bought a family-sized chocolate chip cookie for dessert. Erin ate a slice of the cookie with a central angle of 37 ⁰. The entire cookie had an area of 249 square centimeters. Find the area of Erin’s slice to the nearest hundredth.  Write a proportion.  Set the cross products equal.  Multiply.  Divide.  The area of Erin’s slice was approximately cm 2.

Find the area of the shaded sector in  M. Round to the nearest hundredth.  Find the area of the circle. A = πr 2 = (3.14)(4) 2 ≈ in 2  Write a proportion.  Set the cross products equal ≈ 360x  Solve by dividing by ≈ x  The area of the sector is in 2.

Write a proportion and find the area of each sector. 1. Area of the circle is 37.8 cm². 2. Use 3.14 for . 12 km

 What is a sector?  Describe how to find the area of a circle when the area of the sector is given and the degree of the sector is known.

1. The scale factor between  A and  C is 4 : 3. The circumference of  A is 45.8 m. a. Write a proportion that can be used to find the circumference of  C. b. Find the circumference of  C. 2. The diameters of two circles are 14 ft and 6 ft. The area of the large circle is ft². Find the area of the small circle.