Question

A jeweler made earrings by cutting wedges from silver disks. Each wedge cut from a disk made a 40° angle at the center of the disk. 40° If the weight of each uncut disk was 2.7 grams, how many grams did each wedge weigh? (1) 0.4 gms (2) 2.7 gms (3) 0.3 gms (4) 1 gm​

Answer 1

Answer:

Each wedge will weigh 0.3 gms , option (3)

Step-by-step explanation:

Given : Uncut disk weight = 2.7 gms

            Wedge angle = 40°

Solution :  Disk is a circle = 360°

                No of wedges with 40° can be made = Total disk angle/wedge

                                                                                                               angle

                                                                               = 360/40

                                                                               = 9 nos

                 Weight of uncut disk = 2.7 gms

          ∴    Each wedge weight = Total weight of disk/ no of wedges

                                                   =2.7 /9

                                                   = 0.3 gm