120 likes | 340 Views
4cm. 5cm. 3cm. 6cm. 10m. 4cm. Regular Octagon. The Perimeter Of A Shape. (2). 8.9m. 4cm. 6cm. 5.6m. The Idea Of Perimeter. Perimeter is the distance around the outside of a shape. What is the perimeter of the shapes below ?. (1). P =. 6 +. 4 +. 6 +. 4. P =. 2 x.
E N D
4cm 5cm 3cm 6cm 10m 4cm Regular Octagon The Perimeter Of A Shape.
(2) 8.9m 4cm 6cm 5.6m The Idea Of Perimeter. Perimeter is the distance around the outside of a shape. What is the perimeter of the shapes below ? (1) P = 6 + 4 + 6 + 4 P = 2 x ( 5.6 + 8.9) P = 20cm P = 29m
(4) 10m Regular Octagon (3) 5cm 3cm 4cm P = 3 + 4 + 5 P = 12cm P = 8 x 10 P = 80 m
(2) (1) 11.4cm 11.4cm 4cm 9 cm 9.7cm (3) 10.3m (4) 7.9m 8.1m 7.8 m 12cm What Goes In The Box ? Calculate the perimeter of the shapes below: P = 26cm P=32.5cm P = 34.1m P=72cm
What do we call the distance around the circle? What do we call the distance across the circle ? The Perimeter Of A Circle. Look at the circle below: Circumference. Diameter Key Question. How many times bigger is the diameter of the circle compared to the diameter ? The circumference is a bit more than three times the diameter.
(1) (2) 6cm 9m Estimating The Circumference. If we know that the circumference of a circle is roughly three times the diameter , then estimate the circumference of the circles below: Circumference = 3 x diameter C = 3 x 6cm Circumference = 3 x diameter C = 3 x 9m C = 18 cm C = 27m
The Number Called Pi. After a great deal of measuring and calculating , Greek mathematicians came up with a better estimate of how many times bigger the circumference was compared to the diameter. Key Fact. They found that the circumference was 3.14 times bigger than the diameter. They called 3.14 Pi after a letter in the Greek alphabet. The letter pi is written as : The Circumference Of A Circle. Circumference = Pi x Diameter
(1) 10m (2) 2.8cm Calculating The Circumference. Calculate the circumference of the circles below: C = x D C = x D = 3.14 D = 10m = 3.14 D = 2.8cm C = 3.14 x 10 C = 3.14 x 2.8 C = 31.4m C = 8.8cm
(1) (2) 4cm 26cm (3) 2.3m What Goes In The Box 2 ? Calculate the circumference of the circles shown below: 12.6cm 81.64m 14.4m
(1) 12m P = D + ( D) 2 Perimeter Of More Complex Shapes. Calculate the perimeter of the shapes below: P = 12 + (3.14 x12) 2 P = 12 + 18.84 P = 30.8 cm
(2) 8 m 10 m (3.14 x10 2) P = 10 + 16 + P = 26 + 15.7 P = 41.7m
(3) 10cm P = 10 + 10 + (3.14 x 20) x 0.75 P = 20 + 47.1 P = 67.1 cm