Unit 5 Activity 2 Assignment: Solving Problems using Properties of Circles 1. Prove why any inscribed angle subtended by a diameter is a right angle. 2. An manufacturer designs a BBQ from an old steel drum with a diameter of 55cm. As shown, a section 25cm wide is cut off the top of the drum to enable a grilling surface. He wants to advertise the depth of the BBQ so it can double as a smoker. How deep will the BBQ be? adapted from Big Ideas from Dr. Small Grade 9-12) 25 cm 3. One central angle of a circle is triple the measure of another central angle. What other information does this enable you to know? 4. The distance from the centre of a circle to a point P outside the circle is 12 mm. The length of the tangent segment from P to the circle is 9 mm. Determine the radius of the circle. 5. The radius of a circle is 20cm with chord AC - 12 cm. Determine the measure of 4ABC. B 6. Determine the percentage of the Earth's circumference lies within a satellite's transmission range if the satellite is 30 250 km above Earth's surface. (Note: Earth's radius is approximately 6387 km) (adapted from Big loans (tom De. Small Grade 9-12)