The diagram below shows part of the curve of Show that the curve divides the area of the rectangle OAPB into two regions whose areas are in the ratio . The diagram shows part of a circle having centre at (0,0) and radius of length 5. Use the trapezoidal rule with 10 intervals to find an approximation to the area of the shaded region. Does the trapezoidal rule overestimate or underestimate the true area Find the exact area of the shaded region Use the answers from (b) and (c) to estimate a value for p. The diagram below shows part of a security barrier placed above a gate at St. The barrier is in the shape of a John’s College, Johannesburg, South Africa. semicircle with a number of evenly- spaced vertical bars running through it. The semicircle is then decorated with smaller circles as shown The vertical bars in the semi-circle are evenly spaced with a gap of 12 cm between successive bars. The exterior diameter of circles A and B is also 12cm. The centre of circle A is vertically above the first vertical bar inside the inner semi-circle. The centre of circle B is vertically above the right edge of the inner semicircle. How far apart on the semi-circle are the points of tangency of circles A and B to the
The diagram below shows part of the curve of Show that the curve divides the area of the rectangle OAPB into two regions whose areas are in the ratio . The diagram shows part of a circle having centre at (0,0) and radius of length 5. Use the trapezoidal rule with 10 intervals to find an approximation to the area of the shaded region. Does the trapezoidal rule overestimate or underestimate the true area Find the exact area of the shaded region Use the answers from (b) and (c) to estimate a value for p. The diagram below shows part of a security barrier placed above a gate at St. John’s College, Johannesburg, South Africa. The barrier is in the shape of a semicircle with a number of evenly- spaced vertical bars running through it. The semicircle is then decorated with smaller circles as shown The vertical bars in the semi-circle are evenly spaced with a gap of 12 cm between successive bars. The exterior diameter of circles A and B is also 12cm. The centre of circle A is vertically above the first vertical bar inside the inner semi-circle. The centre of circle B is vertically above the right edge of the inner semicircle. How far apart on the semi-circle are the points of tangency of circles A and B to the
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