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GCSE Maths Starter 11. Round 4.836 to 2 significant figures Calculate the missing probability Calculate the area of this triangle Simplify the ratio 20:5 List all of the factors of 48. Lesson11 Circles Mathswatch Clip (71/72). To label parts of a circle ( Grade G )
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GCSE Maths Starter 11 Round 4.836 to 2 significant figures Calculate the missing probability Calculate the area of this triangle Simplify the ratio 20:5 List all of the factors of 48
Lesson11 CirclesMathswatch Clip (71/72) To label parts of a circle (Grade G ) To calculate the circumference and area of a circle(Grade D) To find the perimeter and area of a semi circle (Grade C) EXTN: To use and apply properties of circles to solve real life problems (Grade C)
Circumference Major Arc Tangent radius Tangent Minor Arc Tangent Parts of the Circle Major Segment diameter chord Minor Segment Major Sector Minor Sector
The Circumference of a Circle Find the circumference of the following circles. 1 2 8 cm 9.5 cm C =d C =2r C =d C= x 8 C = 25.1 cm (1 dp) C =d C= x 9.5 C = 29.8 cm (1 dp)
The Circumference of a Circle Find the circumference of the following circles. 4 3 3 mm C =d 2.1 m C =2r C =2r C = 2 x x 3 C = 18.8 mm(1 dp) C = 2r C = 2 x x 2.1 C = 13.2 m(1 dp)
Some for your to try. 7.5 cm 23 cm C =2r C = 2 x x 7.5 C = 47.1 cm(1 dp) C =d C= x 23 C = 72.3 cm (1 dp)
C =d C =2r The Circumference of a Circle Find the diameter/radius of the following circles. 5 6 C = 25 cm find the diameter. C = 30 cm find the radius. 2r = 30 r = 30/(2) r = 4.8 cm (1 dp) d = 25 d = 25/ d = 8.0 cm (1 dp)
9 m 4 cm 58 cm 23 mm Lesson11 CirclesMathswatch Clip (71/72) Some for you to try.. C = πd C = 2πr = 3.14 × 4 = 2 × 3.14 × 9 = 12.56 cm = 56.52 m C = πd C = 2πr = 3.14 × 23 = 2 × 3.14 × 58 = 72.22 mm = 364.24 cm
Lesson11 CirclesMathswatch Clip (71/72) Find the perimeter of the following semi-circles. 1 2 8 cm 9.5 cm C =d C =2r Some for you to try.. Perimeter =½d + d = ½ x x 9.5 + 9.5 = 24.4 cm (1 dp) Perimeter =½d + d = ½ x x 8 + 8 = 20.6 cm (1 dp)
A =r2 The Area of a Circle Find the area of the following circles. 1 2 8 cm 9.5 cm A =r2 A = x 82 A = 201.1 cm2 (1 dp) A =r2 A = x 9.52 A = 283.5 cm2 (1 dp)
The Area of a Circle A =r2 Find the area of the following circles. 3 4 6 mm 2.4 m A =r2 A = x 32 A = 28.3 mm2 (1 dp) A =r2 A = x 1.22 A = 4.5 m2 (1 dp)
A =r2 The Area of a Circle Find the area of the following semi-circles. 1 2 8 cm 9.5 cm A =½r2 = ½ x x 4.752 = 35.4 cm2 (1 dp) A =½r2 = ½ x x 42 = 25.1 cm2 (1 dp)
2 cm 10 m 78 cm 23 mm Lesson11 CirclesMathswatch Clip (71/72) Some for you to try.. A = πr2 A = πr2 = 3.14 × 22 = 3.14 × 52 = 12.56 cm2 = 78.5 m2 A = πr2 A = πr2 = 3.14 × 232 = 3.14 × 392 = 1661.06 mm2 = 4775.94 cm2
A =r2 Find the radius/diameter of the following circles. 2 1 A = 25 cm2 find the diameter. A = 30 cm2 find the radius. Lesson11 CirclesMathswatch Clip (71/72) Some for you to try.. r2 = 25 r2 = 25/ r = (25/) r = 2.82 d = 2 x 2.82 = 5.6 cm 1dp r2 = 30 r2 = 30/ r = (30/) r = 3.1 cm 1dp
Lesson11 CirclesMathswatch Clip (71/72) Exam questions