Nine Washington area museums have received grants from the National Endowment for the Humanities as part of more than $4 million granted to 72 museum projects across the country. So far this fiscal year, the endowment has awarded $5.16 million to museums; the awards for all of fiscal 1982 totaled $4.18 million. Before fiscal 1983 ends in September, another $250,000 may be given to museums.

"We want to make clear our commitment to museums as humanities institutions," said endowment spokesman Terry Krieger. He added that in each case, the museum will add an unspecified amount of its own money to pay for the project. DISTRICT OF COLUMBIA GRANTS:

The Textile Museum will receive $85,371, its first Humanities grant, to pay for an exhibit and catalogue on textiles made on the Peruvian northern coast between 1350 and 1570 in the Chimor kingdom. Patricia Fiske, Textile Museum director, said Ann P. Rowe will be in charge of the exhibit, to be open from late January to May before it travels to Dallas.

The National Museum of Women's Art will receive $10,000 for a study by consultants to develop a focus for the museum. "This is the first time, we believe, that the Humanities has given money to a museum which has yet to open," said Charlotte Newton, the museum's administrative director. "Suzanne Perkins of our staff will work with the American History Workshops of Boston for three conferences to plan our museum's programs. We hope to open the museum in Washington in 1986."

The Corcoran Gallery of Art will receive $20,000 to produce and publish a guidebook to the gallery's permanent collection of American landscape painting, 1825-1875. "Barbara Moore, curator of education, is writing the guide to help visitors learn to see the paintings. We hope to have it done by late winter," said gallery director Michael Botwinick. MARYLAND GRANTS:

The University of Maryland at College Park will receive the largest grant in this area--$180,000 to pay for exhibits, a slide show, walking tours and a guidebook to the archaeology and anthropology of the historic district in Annapolis, the country's oldest state capital. Mark P. Leone will direct the project in conjunction with the Historic Annapolis organization.

The St. Mary's City Commission will receive $9,930 to study new ways to interpret and present its collections and historic sites. Michael J. Devine will head the program.

The Maryland Historical Society will receive $115,736 to reinstall its Radcliffe Maritime Museum, which illustrates the growth of the port of Baltimore and its effects on the state. Mary Ellen Hayward will be in charge. VIRGINIA GRANTS:

The City of Alexandria will receive $15,000 for an exhibition on Alexandria's history by Dory P. Twitchell, interpreting the archaeological artifacts of several 18th- through 20th-century Virginia families.

The Colonial Williamsburg Foundation will receive $15,000 to plan a program showing the development of the American legal system, to be shown permanently in the 1770 Courthouse, under the direction of Robert C. Birney.

The Virginia Museum of Fine Arts will get $46,095 to finance a major traveling exhibit exploring the influences on southern painting throughout history. Ella-Prince T. Knox will head the Richmond museum's program.